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Finding the Fourth Proportional to 8,371.02, 12,540.30 and 4,662

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Solution

The fourth proportional to 8,371.02, 12,540.30 and 4,662 is: 6,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.02 : 12,540.30 = 4,662 : x
  2. Step 2: Convert to fraction form
    8,371.02/12,540.30 = 4,662/x
  3. Step 3: Cross multiply
    8,371.02x = 12,540.30 × 4,662
  4. Step 4: Simplify right side
    8,371.02x = 58,462,878.60
  5. Step 5: Solve for x
    x = 58,462,878.60/8,371.02
  6. Step 6: Final answer
    x = 6,983.96

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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.