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Finding the Fourth Proportional to 8,538.75, 12,801.17 and 5,730.48

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Solution

The fourth proportional to 8,538.75, 12,801.17 and 5,730.48 is: 8,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.75 : 12,801.17 = 5,730.48 : x
  2. Step 2: Convert to fraction form
    8,538.75/12,801.17 = 5,730.48/x
  3. Step 3: Cross multiply
    8,538.75x = 12,801.17 × 5,730.48
  4. Step 4: Simplify right side
    8,538.75x = 73,356,862.99
  5. Step 5: Solve for x
    x = 73,356,862.99/8,538.75
  6. Step 6: Final answer
    x = 8,591.05

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1.5x scale

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.