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Finding the Fourth Proportional to 7,524.88, 11,287.36 and 3,418

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Solution

The fourth proportional to 7,524.88, 11,287.36 and 3,418 is: 5,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.88 : 11,287.36 = 3,418 : x
  2. Step 2: Convert to fraction form
    7,524.88/11,287.36 = 3,418/x
  3. Step 3: Cross multiply
    7,524.88x = 11,287.36 × 3,418
  4. Step 4: Simplify right side
    7,524.88x = 38,580,196.48
  5. Step 5: Solve for x
    x = 38,580,196.48/7,524.88
  6. Step 6: Final answer
    x = 5,127.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.