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Finding the Fourth Proportional to 8,757.57, 13,138.20 and 2,834.94

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Solution

The fourth proportional to 8,757.57, 13,138.20 and 2,834.94 is: 4,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.57 : 13,138.20 = 2,834.94 : x
  2. Step 2: Convert to fraction form
    8,757.57/13,138.20 = 2,834.94/x
  3. Step 3: Cross multiply
    8,757.57x = 13,138.20 × 2,834.94
  4. Step 4: Simplify right side
    8,757.57x = 37,246,008.71
  5. Step 5: Solve for x
    x = 37,246,008.71/8,757.57
  6. Step 6: Final answer
    x = 4,253.01

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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.