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Finding the Fourth Proportional to 8,534.57, 12,801.75 and 3,340.40

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Solution

The fourth proportional to 8,534.57, 12,801.75 and 3,340.40 is: 5,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.57 : 12,801.75 = 3,340.40 : x
  2. Step 2: Convert to fraction form
    8,534.57/12,801.75 = 3,340.40/x
  3. Step 3: Cross multiply
    8,534.57x = 12,801.75 × 3,340.40
  4. Step 4: Simplify right side
    8,534.57x = 42,762,965.70
  5. Step 5: Solve for x
    x = 42,762,965.70/8,534.57
  6. Step 6: Final answer
    x = 5,010.56

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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.