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Finding the Fourth Proportional to 11,987.89, 16,542.90 and 7,514.07

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Solution

The fourth proportional to 11,987.89, 16,542.90 and 7,514.07 is: 10,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.89 : 16,542.90 = 7,514.07 : x
  2. Step 2: Convert to fraction form
    11,987.89/16,542.90 = 7,514.07/x
  3. Step 3: Cross multiply
    11,987.89x = 16,542.90 × 7,514.07
  4. Step 4: Simplify right side
    11,987.89x = 124,304,508.60
  5. Step 5: Solve for x
    x = 124,304,508.60/11,987.89
  6. Step 6: Final answer
    x = 10,369.17

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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.