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Finding the Fourth Proportional to 10,428, 14,390.66 and 5,712.29

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Solution

The fourth proportional to 10,428, 14,390.66 and 5,712.29 is: 7,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 14,390.66 = 5,712.29 : x
  2. Step 2: Convert to fraction form
    10,428/14,390.66 = 5,712.29/x
  3. Step 3: Cross multiply
    10,428x = 14,390.66 × 5,712.29
  4. Step 4: Simplify right side
    10,428x = 82,203,522.70
  5. Step 5: Solve for x
    x = 82,203,522.70/10,428
  6. Step 6: Final answer
    x = 7,882.96

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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.