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Finding the Fourth Proportional to 5,401, 8,102 and 2,478.88

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Solution

The fourth proportional to 5,401, 8,102 and 2,478.88 is: 3,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 8,102 = 2,478.88 : x
  2. Step 2: Convert to fraction form
    5,401/8,102 = 2,478.88/x
  3. Step 3: Cross multiply
    5,401x = 8,102 × 2,478.88
  4. Step 4: Simplify right side
    5,401x = 20,083,885.76
  5. Step 5: Solve for x
    x = 20,083,885.76/5,401
  6. Step 6: Final answer
    x = 3,718.55

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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.