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Finding the Fourth Proportional to 13,423.85, 18,524.92 and 7,456.08

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Solution

The fourth proportional to 13,423.85, 18,524.92 and 7,456.08 is: 10,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.85 : 18,524.92 = 7,456.08 : x
  2. Step 2: Convert to fraction form
    13,423.85/18,524.92 = 7,456.08/x
  3. Step 3: Cross multiply
    13,423.85x = 18,524.92 × 7,456.08
  4. Step 4: Simplify right side
    13,423.85x = 138,123,162.56
  5. Step 5: Solve for x
    x = 138,123,162.56/13,423.85
  6. Step 6: Final answer
    x = 10,289.38

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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.