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Finding the Fourth Proportional to 10,287, 15,428.16 and 2,892.18

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Solution

The fourth proportional to 10,287, 15,428.16 and 2,892.18 is: 4,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 15,428.16 = 2,892.18 : x
  2. Step 2: Convert to fraction form
    10,287/15,428.16 = 2,892.18/x
  3. Step 3: Cross multiply
    10,287x = 15,428.16 × 2,892.18
  4. Step 4: Simplify right side
    10,287x = 44,621,015.79
  5. Step 5: Solve for x
    x = 44,621,015.79/10,287
  6. Step 6: Final answer
    x = 4,337.61

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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.