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Finding the Fourth Proportional to 8,757.12, 13,135.68 and 5,057

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Solution

The fourth proportional to 8,757.12, 13,135.68 and 5,057 is: 7,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.12 : 13,135.68 = 5,057 : x
  2. Step 2: Convert to fraction form
    8,757.12/13,135.68 = 5,057/x
  3. Step 3: Cross multiply
    8,757.12x = 13,135.68 × 5,057
  4. Step 4: Simplify right side
    8,757.12x = 66,427,133.76
  5. Step 5: Solve for x
    x = 66,427,133.76/8,757.12
  6. Step 6: Final answer
    x = 7,585.50

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Why These Related Problems?

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