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Finding the Fourth Proportional to 20,565.66, 30,836.84 and 8,078.87

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Solution

The fourth proportional to 20,565.66, 30,836.84 and 8,078.87 is: 12,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.66 : 30,836.84 = 8,078.87 : x
  2. Step 2: Convert to fraction form
    20,565.66/30,836.84 = 8,078.87/x
  3. Step 3: Cross multiply
    20,565.66x = 30,836.84 × 8,078.87
  4. Step 4: Simplify right side
    20,565.66x = 249,126,858.27
  5. Step 5: Solve for x
    x = 249,126,858.27/20,565.66
  6. Step 6: Final answer
    x = 12,113.73

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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.