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Finding the Fourth Proportional to 16,202.90, 22,359.72 and 9,129.20

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Solution

The fourth proportional to 16,202.90, 22,359.72 and 9,129.20 is: 12,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.90 : 22,359.72 = 9,129.20 : x
  2. Step 2: Convert to fraction form
    16,202.90/22,359.72 = 9,129.20/x
  3. Step 3: Cross multiply
    16,202.90x = 22,359.72 × 9,129.20
  4. Step 4: Simplify right side
    16,202.90x = 204,126,355.82
  5. Step 5: Solve for x
    x = 204,126,355.82/16,202.90
  6. Step 6: Final answer
    x = 12,598.14

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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.