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Finding the Fourth Proportional to 9,801.80, 14,699.96 and 2,781.24

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Solution

The fourth proportional to 9,801.80, 14,699.96 and 2,781.24 is: 4,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.80 : 14,699.96 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    9,801.80/14,699.96 = 2,781.24/x
  3. Step 3: Cross multiply
    9,801.80x = 14,699.96 × 2,781.24
  4. Step 4: Simplify right side
    9,801.80x = 40,884,116.75
  5. Step 5: Solve for x
    x = 40,884,116.75/9,801.80
  6. Step 6: Final answer
    x = 4,171.08

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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.