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Finding the Fourth Proportional to 8,519.76, 12,774.24 and 3,592.80

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Solution

The fourth proportional to 8,519.76, 12,774.24 and 3,592.80 is: 5,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.76 : 12,774.24 = 3,592.80 : x
  2. Step 2: Convert to fraction form
    8,519.76/12,774.24 = 3,592.80/x
  3. Step 3: Cross multiply
    8,519.76x = 12,774.24 × 3,592.80
  4. Step 4: Simplify right side
    8,519.76x = 45,895,289.47
  5. Step 5: Solve for x
    x = 45,895,289.47/8,519.76
  6. Step 6: Final answer
    x = 5,386.92

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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.