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Finding the Fourth Proportional to 10,408, 15,612 and 4,170.82

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Solution

The fourth proportional to 10,408, 15,612 and 4,170.82 is: 6,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 15,612 = 4,170.82 : x
  2. Step 2: Convert to fraction form
    10,408/15,612 = 4,170.82/x
  3. Step 3: Cross multiply
    10,408x = 15,612 × 4,170.82
  4. Step 4: Simplify right side
    10,408x = 65,114,841.84
  5. Step 5: Solve for x
    x = 65,114,841.84/10,408
  6. Step 6: Final answer
    x = 6,256.23

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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.