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Finding the Fourth Proportional to 10,031.80, 13,843.80 and 5,615.80

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Solution

The fourth proportional to 10,031.80, 13,843.80 and 5,615.80 is: 7,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.80 : 13,843.80 = 5,615.80 : x
  2. Step 2: Convert to fraction form
    10,031.80/13,843.80 = 5,615.80/x
  3. Step 3: Cross multiply
    10,031.80x = 13,843.80 × 5,615.80
  4. Step 4: Simplify right side
    10,031.80x = 77,744,012.04
  5. Step 5: Solve for x
    x = 77,744,012.04/10,031.80
  6. Step 6: Final answer
    x = 7,749.76

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1.5x scale

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.