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Finding the Fourth Proportional to 8,415.90, 12,625.74 and 2,869.02

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Solution

The fourth proportional to 8,415.90, 12,625.74 and 2,869.02 is: 4,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.90 : 12,625.74 = 2,869.02 : x
  2. Step 2: Convert to fraction form
    8,415.90/12,625.74 = 2,869.02/x
  3. Step 3: Cross multiply
    8,415.90x = 12,625.74 × 2,869.02
  4. Step 4: Simplify right side
    8,415.90x = 36,223,500.57
  5. Step 5: Solve for x
    x = 36,223,500.57/8,415.90
  6. Step 6: Final answer
    x = 4,304.17

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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.