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Finding the Fourth Proportional to 20,347.50, 30,532.78 and 9,403.50

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Solution

The fourth proportional to 20,347.50, 30,532.78 and 9,403.50 is: 14,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.50 : 30,532.78 = 9,403.50 : x
  2. Step 2: Convert to fraction form
    20,347.50/30,532.78 = 9,403.50/x
  3. Step 3: Cross multiply
    20,347.50x = 30,532.78 × 9,403.50
  4. Step 4: Simplify right side
    20,347.50x = 287,114,996.73
  5. Step 5: Solve for x
    x = 287,114,996.73/20,347.50
  6. Step 6: Final answer
    x = 14,110.58

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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.