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Finding the Fourth Proportional to 8,454.75, 12,689.61 and 4,017.87

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Solution

The fourth proportional to 8,454.75, 12,689.61 and 4,017.87 is: 6,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.75 : 12,689.61 = 4,017.87 : x
  2. Step 2: Convert to fraction form
    8,454.75/12,689.61 = 4,017.87/x
  3. Step 3: Cross multiply
    8,454.75x = 12,689.61 × 4,017.87
  4. Step 4: Simplify right side
    8,454.75x = 50,985,203.33
  5. Step 5: Solve for x
    x = 50,985,203.33/8,454.75
  6. Step 6: Final answer
    x = 6,030.36

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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.