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Finding the Fourth Proportional to 10,933.20, 16,419.60 and 9,572.40

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Solution

The fourth proportional to 10,933.20, 16,419.60 and 9,572.40 is: 14,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.20 : 16,419.60 = 9,572.40 : x
  2. Step 2: Convert to fraction form
    10,933.20/16,419.60 = 9,572.40/x
  3. Step 3: Cross multiply
    10,933.20x = 16,419.60 × 9,572.40
  4. Step 4: Simplify right side
    10,933.20x = 157,174,979.04
  5. Step 5: Solve for x
    x = 157,174,979.04/10,933.20
  6. Step 6: Final answer
    x = 14,375.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.