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Finding the Fourth Proportional to 8,454.74, 12,671.31 and 4,012.39

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Solution

The fourth proportional to 8,454.74, 12,671.31 and 4,012.39 is: 6,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.74 : 12,671.31 = 4,012.39 : x
  2. Step 2: Convert to fraction form
    8,454.74/12,671.31 = 4,012.39/x
  3. Step 3: Cross multiply
    8,454.74x = 12,671.31 × 4,012.39
  4. Step 4: Simplify right side
    8,454.74x = 50,842,205.85
  5. Step 5: Solve for x
    x = 50,842,205.85/8,454.74
  6. Step 6: Final answer
    x = 6,013.46

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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.