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Finding the Fourth Proportional to 12,861.86, 17,748.92 and 7,272.86

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Solution

The fourth proportional to 12,861.86, 17,748.92 and 7,272.86 is: 10,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.86 : 17,748.92 = 7,272.86 : x
  2. Step 2: Convert to fraction form
    12,861.86/17,748.92 = 7,272.86/x
  3. Step 3: Cross multiply
    12,861.86x = 17,748.92 × 7,272.86
  4. Step 4: Simplify right side
    12,861.86x = 129,085,339.75
  5. Step 5: Solve for x
    x = 129,085,339.75/12,861.86
  6. Step 6: Final answer
    x = 10,036.29

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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.