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Finding the Fourth Proportional to 20,565.76, 30,777.36 and 12,664.76

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Solution

The fourth proportional to 20,565.76, 30,777.36 and 12,664.76 is: 18,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.76 : 30,777.36 = 12,664.76 : x
  2. Step 2: Convert to fraction form
    20,565.76/30,777.36 = 12,664.76/x
  3. Step 3: Cross multiply
    20,565.76x = 30,777.36 × 12,664.76
  4. Step 4: Simplify right side
    20,565.76x = 389,787,877.83
  5. Step 5: Solve for x
    x = 389,787,877.83/20,565.76
  6. Step 6: Final answer
    x = 18,953.24

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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.