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Finding the Fourth Proportional to 10,659.98, 15,980.85 and 4,090.88

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Solution

The fourth proportional to 10,659.98, 15,980.85 and 4,090.88 is: 6,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.98 : 15,980.85 = 4,090.88 : x
  2. Step 2: Convert to fraction form
    10,659.98/15,980.85 = 4,090.88/x
  3. Step 3: Cross multiply
    10,659.98x = 15,980.85 × 4,090.88
  4. Step 4: Simplify right side
    10,659.98x = 65,375,639.29
  5. Step 5: Solve for x
    x = 65,375,639.29/10,659.98
  6. Step 6: Final answer
    x = 6,132.81

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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.