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Finding the Fourth Proportional to 8,542.80, 12,808.04 and 5,762.52

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Solution

The fourth proportional to 8,542.80, 12,808.04 and 5,762.52 is: 8,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.80 : 12,808.04 = 5,762.52 : x
  2. Step 2: Convert to fraction form
    8,542.80/12,808.04 = 5,762.52/x
  3. Step 3: Cross multiply
    8,542.80x = 12,808.04 × 5,762.52
  4. Step 4: Simplify right side
    8,542.80x = 73,806,557.85
  5. Step 5: Solve for x
    x = 73,806,557.85/8,542.80
  6. Step 6: Final answer
    x = 8,639.62

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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.