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Finding the Fourth Proportional to 11,531.80, 17,265.30 and 11,207.80

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Solution

The fourth proportional to 11,531.80, 17,265.30 and 11,207.80 is: 16,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.80 : 17,265.30 = 11,207.80 : x
  2. Step 2: Convert to fraction form
    11,531.80/17,265.30 = 11,207.80/x
  3. Step 3: Cross multiply
    11,531.80x = 17,265.30 × 11,207.80
  4. Step 4: Simplify right side
    11,531.80x = 193,506,029.34
  5. Step 5: Solve for x
    x = 193,506,029.34/11,531.80
  6. Step 6: Final answer
    x = 16,780.21

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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.