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Finding the Fourth Proportional to 10,287, 15,428.88 and 4,445.28

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Solution

The fourth proportional to 10,287, 15,428.88 and 4,445.28 is: 6,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 15,428.88 = 4,445.28 : x
  2. Step 2: Convert to fraction form
    10,287/15,428.88 = 4,445.28/x
  3. Step 3: Cross multiply
    10,287x = 15,428.88 × 4,445.28
  4. Step 4: Simplify right side
    10,287x = 68,585,691.69
  5. Step 5: Solve for x
    x = 68,585,691.69/10,287
  6. Step 6: Final answer
    x = 6,667.22

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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.