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Finding the Fourth Proportional to 8,542.80, 12,814.20 and 2,302.80

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Solution

The fourth proportional to 8,542.80, 12,814.20 and 2,302.80 is: 3,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.80 : 12,814.20 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    8,542.80/12,814.20 = 2,302.80/x
  3. Step 3: Cross multiply
    8,542.80x = 12,814.20 × 2,302.80
  4. Step 4: Simplify right side
    8,542.80x = 29,508,539.76
  5. Step 5: Solve for x
    x = 29,508,539.76/8,542.80
  6. Step 6: Final answer
    x = 3,454.20

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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.