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Finding the Fourth Proportional to 48,538.56, 72,809.44 and 13,478.56

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Solution

The fourth proportional to 48,538.56, 72,809.44 and 13,478.56 is: 20,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538.56 : 72,809.44 = 13,478.56 : x
  2. Step 2: Convert to fraction form
    48,538.56/72,809.44 = 13,478.56/x
  3. Step 3: Cross multiply
    48,538.56x = 72,809.44 × 13,478.56
  4. Step 4: Simplify right side
    48,538.56x = 981,366,405.61
  5. Step 5: Solve for x
    x = 981,366,405.61/48,538.56
  6. Step 6: Final answer
    x = 20,218.28

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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.