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Finding the Fourth Proportional to 12,861.96, 17,752.50 and 7,274.76

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Solution

The fourth proportional to 12,861.96, 17,752.50 and 7,274.76 is: 10,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.96 : 17,752.50 = 7,274.76 : x
  2. Step 2: Convert to fraction form
    12,861.96/17,752.50 = 7,274.76/x
  3. Step 3: Cross multiply
    12,861.96x = 17,752.50 × 7,274.76
  4. Step 4: Simplify right side
    12,861.96x = 129,145,176.90
  5. Step 5: Solve for x
    x = 129,145,176.90/12,861.96
  6. Step 6: Final answer
    x = 10,040.86

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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.