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Finding the Fourth Proportional to 12,863.77, 17,754.96 and 8,379.71

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Solution

The fourth proportional to 12,863.77, 17,754.96 and 8,379.71 is: 11,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.77 : 17,754.96 = 8,379.71 : x
  2. Step 2: Convert to fraction form
    12,863.77/17,754.96 = 8,379.71/x
  3. Step 3: Cross multiply
    12,863.77x = 17,754.96 × 8,379.71
  4. Step 4: Simplify right side
    12,863.77x = 148,781,415.86
  5. Step 5: Solve for x
    x = 148,781,415.86/12,863.77
  6. Step 6: Final answer
    x = 11,565.93

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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.