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Finding the Fourth Proportional to 15,177.78, 20,944.35 and 8,463.02

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Solution

The fourth proportional to 15,177.78, 20,944.35 and 8,463.02 is: 11,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.78 : 20,944.35 = 8,463.02 : x
  2. Step 2: Convert to fraction form
    15,177.78/20,944.35 = 8,463.02/x
  3. Step 3: Cross multiply
    15,177.78x = 20,944.35 × 8,463.02
  4. Step 4: Simplify right side
    15,177.78x = 177,252,348.22
  5. Step 5: Solve for x
    x = 177,252,348.22/15,177.78
  6. Step 6: Final answer
    x = 11,678.41

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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.