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Finding the Fourth Proportional to 11,658.60, 17,531.10 and 9,757.80

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Solution

The fourth proportional to 11,658.60, 17,531.10 and 9,757.80 is: 14,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.60 : 17,531.10 = 9,757.80 : x
  2. Step 2: Convert to fraction form
    11,658.60/17,531.10 = 9,757.80/x
  3. Step 3: Cross multiply
    11,658.60x = 17,531.10 × 9,757.80
  4. Step 4: Simplify right side
    11,658.60x = 171,064,967.58
  5. Step 5: Solve for x
    x = 171,064,967.58/11,658.60
  6. Step 6: Final answer
    x = 14,672.86

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1.5x scale

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.