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Finding the Fourth Proportional to 12,889.17, 17,770.46 and 8,343.79

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Solution

The fourth proportional to 12,889.17, 17,770.46 and 8,343.79 is: 11,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.17 : 17,770.46 = 8,343.79 : x
  2. Step 2: Convert to fraction form
    12,889.17/17,770.46 = 8,343.79/x
  3. Step 3: Cross multiply
    12,889.17x = 17,770.46 × 8,343.79
  4. Step 4: Simplify right side
    12,889.17x = 148,272,900.30
  5. Step 5: Solve for x
    x = 148,272,900.30/12,889.17
  6. Step 6: Final answer
    x = 11,503.68

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1.5x scale

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.