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Finding the Fourth Proportional to 20,591.30, 28,416.03 and 11,159.86

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Solution

The fourth proportional to 20,591.30, 28,416.03 and 11,159.86 is: 15,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.30 : 28,416.03 = 11,159.86 : x
  2. Step 2: Convert to fraction form
    20,591.30/28,416.03 = 11,159.86/x
  3. Step 3: Cross multiply
    20,591.30x = 28,416.03 × 11,159.86
  4. Step 4: Simplify right side
    20,591.30x = 317,118,916.56
  5. Step 5: Solve for x
    x = 317,118,916.56/20,591.30
  6. Step 6: Final answer
    x = 15,400.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.