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Finding the Fourth Proportional to 6,681.32, 9,220.31 and 4,164.45

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Solution

The fourth proportional to 6,681.32, 9,220.31 and 4,164.45 is: 5,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.32 : 9,220.31 = 4,164.45 : x
  2. Step 2: Convert to fraction form
    6,681.32/9,220.31 = 4,164.45/x
  3. Step 3: Cross multiply
    6,681.32x = 9,220.31 × 4,164.45
  4. Step 4: Simplify right side
    6,681.32x = 38,397,453.06
  5. Step 5: Solve for x
    x = 38,397,453.06/6,681.32
  6. Step 6: Final answer
    x = 5,746.99

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Half scale
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Double scale
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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.