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Finding the Fourth Proportional to 22,770.64, 34,145.92 and 10,290.16

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Solution

The fourth proportional to 22,770.64, 34,145.92 and 10,290.16 is: 15,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.64 : 34,145.92 = 10,290.16 : x
  2. Step 2: Convert to fraction form
    22,770.64/34,145.92 = 10,290.16/x
  3. Step 3: Cross multiply
    22,770.64x = 34,145.92 × 10,290.16
  4. Step 4: Simplify right side
    22,770.64x = 351,366,843.62
  5. Step 5: Solve for x
    x = 351,366,843.62/22,770.64
  6. Step 6: Final answer
    x = 15,430.70

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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.