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Finding the Fourth Proportional to 11,543.78, 15,921.36 and 8,357.55

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Solution

The fourth proportional to 11,543.78, 15,921.36 and 8,357.55 is: 11,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.78 : 15,921.36 = 8,357.55 : x
  2. Step 2: Convert to fraction form
    11,543.78/15,921.36 = 8,357.55/x
  3. Step 3: Cross multiply
    11,543.78x = 15,921.36 × 8,357.55
  4. Step 4: Simplify right side
    11,543.78x = 133,063,502.56
  5. Step 5: Solve for x
    x = 133,063,502.56/11,543.78
  6. Step 6: Final answer
    x = 11,526.85

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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.