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Finding the Fourth Proportional to 20,769.60, 31,089.60 and 16,363.20

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Solution

The fourth proportional to 20,769.60, 31,089.60 and 16,363.20 is: 24,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769.60 : 31,089.60 = 16,363.20 : x
  2. Step 2: Convert to fraction form
    20,769.60/31,089.60 = 16,363.20/x
  3. Step 3: Cross multiply
    20,769.60x = 31,089.60 × 16,363.20
  4. Step 4: Simplify right side
    20,769.60x = 508,725,342.72
  5. Step 5: Solve for x
    x = 508,725,342.72/20,769.60
  6. Step 6: Final answer
    x = 24,493.75

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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.