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Finding the Fourth Proportional to 13,423.38, 18,514 and 9,119.80

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Solution

The fourth proportional to 13,423.38, 18,514 and 9,119.80 is: 12,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.38 : 18,514 = 9,119.80 : x
  2. Step 2: Convert to fraction form
    13,423.38/18,514 = 9,119.80/x
  3. Step 3: Cross multiply
    13,423.38x = 18,514 × 9,119.80
  4. Step 4: Simplify right side
    13,423.38x = 168,843,977.20
  5. Step 5: Solve for x
    x = 168,843,977.20/13,423.38
  6. Step 6: Final answer
    x = 12,578.35

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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.