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Finding the Fourth Proportional to 10,641.11, 15,963.08 and 5,646.04

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Solution

The fourth proportional to 10,641.11, 15,963.08 and 5,646.04 is: 8,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.11 : 15,963.08 = 5,646.04 : x
  2. Step 2: Convert to fraction form
    10,641.11/15,963.08 = 5,646.04/x
  3. Step 3: Cross multiply
    10,641.11x = 15,963.08 × 5,646.04
  4. Step 4: Simplify right side
    10,641.11x = 90,128,080.16
  5. Step 5: Solve for x
    x = 90,128,080.16/10,641.11
  6. Step 6: Final answer
    x = 8,469.80

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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.