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Finding the Fourth Proportional to 8,432.76, 12,649.12 and 2,276.76

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Solution

The fourth proportional to 8,432.76, 12,649.12 and 2,276.76 is: 3,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.76 : 12,649.12 = 2,276.76 : x
  2. Step 2: Convert to fraction form
    8,432.76/12,649.12 = 2,276.76/x
  3. Step 3: Cross multiply
    8,432.76x = 12,649.12 × 2,276.76
  4. Step 4: Simplify right side
    8,432.76x = 28,799,010.45
  5. Step 5: Solve for x
    x = 28,799,010.45/8,432.76
  6. Step 6: Final answer
    x = 3,415.13

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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.