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Finding the Fourth Proportional to 8,689.86, 13,034.84 and 3,142.17

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Solution

The fourth proportional to 8,689.86, 13,034.84 and 3,142.17 is: 4,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.86 : 13,034.84 = 3,142.17 : x
  2. Step 2: Convert to fraction form
    8,689.86/13,034.84 = 3,142.17/x
  3. Step 3: Cross multiply
    8,689.86x = 13,034.84 × 3,142.17
  4. Step 4: Simplify right side
    8,689.86x = 40,957,667.49
  5. Step 5: Solve for x
    x = 40,957,667.49/8,689.86
  6. Step 6: Final answer
    x = 4,713.27

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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.