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Finding the Fourth Proportional to 8,221.52, 11,344.74 and 6,547.16

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Solution

The fourth proportional to 8,221.52, 11,344.74 and 6,547.16 is: 9,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.52 : 11,344.74 = 6,547.16 : x
  2. Step 2: Convert to fraction form
    8,221.52/11,344.74 = 6,547.16/x
  3. Step 3: Cross multiply
    8,221.52x = 11,344.74 × 6,547.16
  4. Step 4: Simplify right side
    8,221.52x = 74,275,827.94
  5. Step 5: Solve for x
    x = 74,275,827.94/8,221.52
  6. Step 6: Final answer
    x = 9,034.32

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Half scale
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Double scale
Find fourth proportional to 8,222.52, 11,346.12 and 6,548.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.