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Finding the Fourth Proportional to 15,031.14, 20,742.78 and 8,225.22

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Solution

The fourth proportional to 15,031.14, 20,742.78 and 8,225.22 is: 11,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.14 : 20,742.78 = 8,225.22 : x
  2. Step 2: Convert to fraction form
    15,031.14/20,742.78 = 8,225.22/x
  3. Step 3: Cross multiply
    15,031.14x = 20,742.78 × 8,225.22
  4. Step 4: Simplify right side
    15,031.14x = 170,613,928.91
  5. Step 5: Solve for x
    x = 170,613,928.91/15,031.14
  6. Step 6: Final answer
    x = 11,350.70

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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.