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Finding the Fourth Proportional to 20,088, 30,092.78 and 9,543.01

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Solution

The fourth proportional to 20,088, 30,092.78 and 9,543.01 is: 14,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088 : 30,092.78 = 9,543.01 : x
  2. Step 2: Convert to fraction form
    20,088/30,092.78 = 9,543.01/x
  3. Step 3: Cross multiply
    20,088x = 30,092.78 × 9,543.01
  4. Step 4: Simplify right side
    20,088x = 287,175,652.75
  5. Step 5: Solve for x
    x = 287,175,652.75/20,088
  6. Step 6: Final answer
    x = 14,295.88

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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.