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Finding the Fourth Proportional to 10,400.90, 14,352.92 and 5,925.28

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Solution

The fourth proportional to 10,400.90, 14,352.92 and 5,925.28 is: 8,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.90 : 14,352.92 = 5,925.28 : x
  2. Step 2: Convert to fraction form
    10,400.90/14,352.92 = 5,925.28/x
  3. Step 3: Cross multiply
    10,400.90x = 14,352.92 × 5,925.28
  4. Step 4: Simplify right side
    10,400.90x = 85,045,069.82
  5. Step 5: Solve for x
    x = 85,045,069.82/10,400.90
  6. Step 6: Final answer
    x = 8,176.70

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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.