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Finding the Fourth Proportional to 20,047.60, 30,063.12 and 7,565.50

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Solution

The fourth proportional to 20,047.60, 30,063.12 and 7,565.50 is: 11,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.60 : 30,063.12 = 7,565.50 : x
  2. Step 2: Convert to fraction form
    20,047.60/30,063.12 = 7,565.50/x
  3. Step 3: Cross multiply
    20,047.60x = 30,063.12 × 7,565.50
  4. Step 4: Simplify right side
    20,047.60x = 227,442,534.36
  5. Step 5: Solve for x
    x = 227,442,534.36/20,047.60
  6. Step 6: Final answer
    x = 11,345.13

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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.