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Finding the Fourth Proportional to 8,577.90, 12,869.46 and 4,078.37

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Solution

The fourth proportional to 8,577.90, 12,869.46 and 4,078.37 is: 6,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.90 : 12,869.46 = 4,078.37 : x
  2. Step 2: Convert to fraction form
    8,577.90/12,869.46 = 4,078.37/x
  3. Step 3: Cross multiply
    8,577.90x = 12,869.46 × 4,078.37
  4. Step 4: Simplify right side
    8,577.90x = 52,486,451.75
  5. Step 5: Solve for x
    x = 52,486,451.75/8,577.90
  6. Step 6: Final answer
    x = 6,118.80

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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.