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Finding the Fourth Proportional to 10,079.60, 15,090.60 and 9,791.60

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Solution

The fourth proportional to 10,079.60, 15,090.60 and 9,791.60 is: 14,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.60 : 15,090.60 = 9,791.60 : x
  2. Step 2: Convert to fraction form
    10,079.60/15,090.60 = 9,791.60/x
  3. Step 3: Cross multiply
    10,079.60x = 15,090.60 × 9,791.60
  4. Step 4: Simplify right side
    10,079.60x = 147,761,118.96
  5. Step 5: Solve for x
    x = 147,761,118.96/10,079.60
  6. Step 6: Final answer
    x = 14,659.42

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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.