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Finding the Fourth Proportional to 6,364.71, 9,547.08 and 1,982.18

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Solution

The fourth proportional to 6,364.71, 9,547.08 and 1,982.18 is: 2,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.71 : 9,547.08 = 1,982.18 : x
  2. Step 2: Convert to fraction form
    6,364.71/9,547.08 = 1,982.18/x
  3. Step 3: Cross multiply
    6,364.71x = 9,547.08 × 1,982.18
  4. Step 4: Simplify right side
    6,364.71x = 18,923,983.30
  5. Step 5: Solve for x
    x = 18,923,983.30/6,364.71
  6. Step 6: Final answer
    x = 2,973.27

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.