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Finding the Fourth Proportional to 8,461.08, 12,691.47 and 2,914.31

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Solution

The fourth proportional to 8,461.08, 12,691.47 and 2,914.31 is: 4,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.08 : 12,691.47 = 2,914.31 : x
  2. Step 2: Convert to fraction form
    8,461.08/12,691.47 = 2,914.31/x
  3. Step 3: Cross multiply
    8,461.08x = 12,691.47 × 2,914.31
  4. Step 4: Simplify right side
    8,461.08x = 36,986,814.48
  5. Step 5: Solve for x
    x = 36,986,814.48/8,461.08
  6. Step 6: Final answer
    x = 4,371.41

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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.