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Finding the Fourth Proportional to 21,483.43, 32,220.78 and 9,793.87

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Solution

The fourth proportional to 21,483.43, 32,220.78 and 9,793.87 is: 14,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,483.43 : 32,220.78 = 9,793.87 : x
  2. Step 2: Convert to fraction form
    21,483.43/32,220.78 = 9,793.87/x
  3. Step 3: Cross multiply
    21,483.43x = 32,220.78 × 9,793.87
  4. Step 4: Simplify right side
    21,483.43x = 315,566,130.62
  5. Step 5: Solve for x
    x = 315,566,130.62/21,483.43
  6. Step 6: Final answer
    x = 14,688.82

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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.