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Finding the Fourth Proportional to 10,442, 14,410 and 5,726.40

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Solution

The fourth proportional to 10,442, 14,410 and 5,726.40 is: 7,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442 : 14,410 = 5,726.40 : x
  2. Step 2: Convert to fraction form
    10,442/14,410 = 5,726.40/x
  3. Step 3: Cross multiply
    10,442x = 14,410 × 5,726.40
  4. Step 4: Simplify right side
    10,442x = 82,517,424
  5. Step 5: Solve for x
    x = 82,517,424/10,442
  6. Step 6: Final answer
    x = 7,902.45

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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.