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Finding the Fourth Proportional to 11,407.44, 15,737.88 and 8,430.48

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Solution

The fourth proportional to 11,407.44, 15,737.88 and 8,430.48 is: 11,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.44 : 15,737.88 = 8,430.48 : x
  2. Step 2: Convert to fraction form
    11,407.44/15,737.88 = 8,430.48/x
  3. Step 3: Cross multiply
    11,407.44x = 15,737.88 × 8,430.48
  4. Step 4: Simplify right side
    11,407.44x = 132,677,882.58
  5. Step 5: Solve for x
    x = 132,677,882.58/11,407.44
  6. Step 6: Final answer
    x = 11,630.82

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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.