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Finding the Fourth Proportional to 16,181.60, 22,332.69 and 9,109.40

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Solution

The fourth proportional to 16,181.60, 22,332.69 and 9,109.40 is: 12,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.60 : 22,332.69 = 9,109.40 : x
  2. Step 2: Convert to fraction form
    16,181.60/22,332.69 = 9,109.40/x
  3. Step 3: Cross multiply
    16,181.60x = 22,332.69 × 9,109.40
  4. Step 4: Simplify right side
    16,181.60x = 203,437,294.62
  5. Step 5: Solve for x
    x = 203,437,294.62/16,181.60
  6. Step 6: Final answer
    x = 12,572.14

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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.