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Finding the Fourth Proportional to 20,567.76, 30,780.36 and 12,666.76

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Solution

The fourth proportional to 20,567.76, 30,780.36 and 12,666.76 is: 18,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.76 : 30,780.36 = 12,666.76 : x
  2. Step 2: Convert to fraction form
    20,567.76/30,780.36 = 12,666.76/x
  3. Step 3: Cross multiply
    20,567.76x = 30,780.36 × 12,666.76
  4. Step 4: Simplify right side
    20,567.76x = 389,887,432.83
  5. Step 5: Solve for x
    x = 389,887,432.83/20,567.76
  6. Step 6: Final answer
    x = 18,956.24

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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.