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Finding the Fourth Proportional to 10,400.10, 14,338.98 and 7,565.28

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Solution

The fourth proportional to 10,400.10, 14,338.98 and 7,565.28 is: 10,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.10 : 14,338.98 = 7,565.28 : x
  2. Step 2: Convert to fraction form
    10,400.10/14,338.98 = 7,565.28/x
  3. Step 3: Cross multiply
    10,400.10x = 14,338.98 × 7,565.28
  4. Step 4: Simplify right side
    10,400.10x = 108,478,398.61
  5. Step 5: Solve for x
    x = 108,478,398.61/10,400.10
  6. Step 6: Final answer
    x = 10,430.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.