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Finding the Fourth Proportional to 8,432.54, 12,655.14 and 3,172.74

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Solution

The fourth proportional to 8,432.54, 12,655.14 and 3,172.74 is: 4,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.54 : 12,655.14 = 3,172.74 : x
  2. Step 2: Convert to fraction form
    8,432.54/12,655.14 = 3,172.74/x
  3. Step 3: Cross multiply
    8,432.54x = 12,655.14 × 3,172.74
  4. Step 4: Simplify right side
    8,432.54x = 40,151,409.53
  5. Step 5: Solve for x
    x = 40,151,409.53/8,432.54
  6. Step 6: Final answer
    x = 4,761.49

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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.