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Finding the Fourth Proportional to 8,408, 12,604.16 and 2,857.55

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Solution

The fourth proportional to 8,408, 12,604.16 and 2,857.55 is: 4,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 12,604.16 = 2,857.55 : x
  2. Step 2: Convert to fraction form
    8,408/12,604.16 = 2,857.55/x
  3. Step 3: Cross multiply
    8,408x = 12,604.16 × 2,857.55
  4. Step 4: Simplify right side
    8,408x = 36,017,017.41
  5. Step 5: Solve for x
    x = 36,017,017.41/8,408
  6. Step 6: Final answer
    x = 4,283.66

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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.