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Finding the Fourth Proportional to 10,031, 13,843.42 and 5,615

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Solution

The fourth proportional to 10,031, 13,843.42 and 5,615 is: 7,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031 : 13,843.42 = 5,615 : x
  2. Step 2: Convert to fraction form
    10,031/13,843.42 = 5,615/x
  3. Step 3: Cross multiply
    10,031x = 13,843.42 × 5,615
  4. Step 4: Simplify right side
    10,031x = 77,730,803.30
  5. Step 5: Solve for x
    x = 77,730,803.30/10,031
  6. Step 6: Final answer
    x = 7,749.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.