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Finding the Fourth Proportional to 8,432.74, 12,651.90 and 5,309.08

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Solution

The fourth proportional to 8,432.74, 12,651.90 and 5,309.08 is: 7,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.74 : 12,651.90 = 5,309.08 : x
  2. Step 2: Convert to fraction form
    8,432.74/12,651.90 = 5,309.08/x
  3. Step 3: Cross multiply
    8,432.74x = 12,651.90 × 5,309.08
  4. Step 4: Simplify right side
    8,432.74x = 67,169,949.25
  5. Step 5: Solve for x
    x = 67,169,949.25/8,432.74
  6. Step 6: Final answer
    x = 7,965.38

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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.