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Finding the Fourth Proportional to 13,431.74, 20,049.03 and 12,442.13

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Solution

The fourth proportional to 13,431.74, 20,049.03 and 12,442.13 is: 18,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.74 : 20,049.03 = 12,442.13 : x
  2. Step 2: Convert to fraction form
    13,431.74/20,049.03 = 12,442.13/x
  3. Step 3: Cross multiply
    13,431.74x = 20,049.03 × 12,442.13
  4. Step 4: Simplify right side
    13,431.74x = 249,452,514.06
  5. Step 5: Solve for x
    x = 249,452,514.06/13,431.74
  6. Step 6: Final answer
    x = 18,571.87

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.