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Finding the Fourth Proportional to 8,659.68, 12,989.49 and 2,085.85

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Solution

The fourth proportional to 8,659.68, 12,989.49 and 2,085.85 is: 3,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.68 : 12,989.49 = 2,085.85 : x
  2. Step 2: Convert to fraction form
    8,659.68/12,989.49 = 2,085.85/x
  3. Step 3: Cross multiply
    8,659.68x = 12,989.49 × 2,085.85
  4. Step 4: Simplify right side
    8,659.68x = 27,094,127.72
  5. Step 5: Solve for x
    x = 27,094,127.72/8,659.68
  6. Step 6: Final answer
    x = 3,128.77

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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.