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Finding the Fourth Proportional to 20,553.60, 30,780.70 and 11,761.86

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Solution

The fourth proportional to 20,553.60, 30,780.70 and 11,761.86 is: 17,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.60 : 30,780.70 = 11,761.86 : x
  2. Step 2: Convert to fraction form
    20,553.60/30,780.70 = 11,761.86/x
  3. Step 3: Cross multiply
    20,553.60x = 30,780.70 × 11,761.86
  4. Step 4: Simplify right side
    20,553.60x = 362,038,284.10
  5. Step 5: Solve for x
    x = 362,038,284.10/20,553.60
  6. Step 6: Final answer
    x = 17,614.35

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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.