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Finding the Fourth Proportional to 8,361.40, 12,542.09 and 4,613.00

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Solution

The fourth proportional to 8,361.40, 12,542.09 and 4,613.00 is: 6,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.40 : 12,542.09 = 4,613.00 : x
  2. Step 2: Convert to fraction form
    8,361.40/12,542.09 = 4,613.00/x
  3. Step 3: Cross multiply
    8,361.40x = 12,542.09 × 4,613.00
  4. Step 4: Simplify right side
    8,361.40x = 57,856,671.89
  5. Step 5: Solve for x
    x = 57,856,671.89/8,361.40
  6. Step 6: Final answer
    x = 6,919.49

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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.