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Finding the Fourth Proportional to 8,531, 11,761.98 and 7,013

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Solution

The fourth proportional to 8,531, 11,761.98 and 7,013 is: 9,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531 : 11,761.98 = 7,013 : x
  2. Step 2: Convert to fraction form
    8,531/11,761.98 = 7,013/x
  3. Step 3: Cross multiply
    8,531x = 11,761.98 × 7,013
  4. Step 4: Simplify right side
    8,531x = 82,486,765.74
  5. Step 5: Solve for x
    x = 82,486,765.74/8,531
  6. Step 6: Final answer
    x = 9,669.06

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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.