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Finding the Fourth Proportional to 11,407.92, 15,738.60 and 7,432.44

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Solution

The fourth proportional to 11,407.92, 15,738.60 and 7,432.44 is: 10,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.92 : 15,738.60 = 7,432.44 : x
  2. Step 2: Convert to fraction form
    11,407.92/15,738.60 = 7,432.44/x
  3. Step 3: Cross multiply
    11,407.92x = 15,738.60 × 7,432.44
  4. Step 4: Simplify right side
    11,407.92x = 116,976,200.18
  5. Step 5: Solve for x
    x = 116,976,200.18/11,407.92
  6. Step 6: Final answer
    x = 10,253.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.