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Finding the Fourth Proportional to 10,400.11, 14,348.07 and 6,414.28

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Solution

The fourth proportional to 10,400.11, 14,348.07 and 6,414.28 is: 8,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.11 : 14,348.07 = 6,414.28 : x
  2. Step 2: Convert to fraction form
    10,400.11/14,348.07 = 6,414.28/x
  3. Step 3: Cross multiply
    10,400.11x = 14,348.07 × 6,414.28
  4. Step 4: Simplify right side
    10,400.11x = 92,032,538.44
  5. Step 5: Solve for x
    x = 92,032,538.44/10,400.11
  6. Step 6: Final answer
    x = 8,849.19

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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.