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Finding the Fourth Proportional to 10,410.52, 14,349.66 and 8,137.90

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Solution

The fourth proportional to 10,410.52, 14,349.66 and 8,137.90 is: 11,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.52 : 14,349.66 = 8,137.90 : x
  2. Step 2: Convert to fraction form
    10,410.52/14,349.66 = 8,137.90/x
  3. Step 3: Cross multiply
    10,410.52x = 14,349.66 × 8,137.90
  4. Step 4: Simplify right side
    10,410.52x = 116,776,098.11
  5. Step 5: Solve for x
    x = 116,776,098.11/10,410.52
  6. Step 6: Final answer
    x = 11,217.12

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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.