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Finding the Fourth Proportional to 10,142, 15,195.58 and 9,114.82

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Solution

The fourth proportional to 10,142, 15,195.58 and 9,114.82 is: 13,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142 : 15,195.58 = 9,114.82 : x
  2. Step 2: Convert to fraction form
    10,142/15,195.58 = 9,114.82/x
  3. Step 3: Cross multiply
    10,142x = 15,195.58 × 9,114.82
  4. Step 4: Simplify right side
    10,142x = 138,504,976.50
  5. Step 5: Solve for x
    x = 138,504,976.50/10,142
  6. Step 6: Final answer
    x = 13,656.57

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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.