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Finding the Fourth Proportional to 9,459.75, 14,167.76 and 9,131.70

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Solution

The fourth proportional to 9,459.75, 14,167.76 and 9,131.70 is: 13,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.75 : 14,167.76 = 9,131.70 : x
  2. Step 2: Convert to fraction form
    9,459.75/14,167.76 = 9,131.70/x
  3. Step 3: Cross multiply
    9,459.75x = 14,167.76 × 9,131.70
  4. Step 4: Simplify right side
    9,459.75x = 129,375,717.46
  5. Step 5: Solve for x
    x = 129,375,717.46/9,459.75
  6. Step 6: Final answer
    x = 13,676.44

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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.