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Finding the Fourth Proportional to 6,938.40, 10,401.28 and 2,552.80

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Solution

The fourth proportional to 6,938.40, 10,401.28 and 2,552.80 is: 3,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.40 : 10,401.28 = 2,552.80 : x
  2. Step 2: Convert to fraction form
    6,938.40/10,401.28 = 2,552.80/x
  3. Step 3: Cross multiply
    6,938.40x = 10,401.28 × 2,552.80
  4. Step 4: Simplify right side
    6,938.40x = 26,552,387.58
  5. Step 5: Solve for x
    x = 26,552,387.58/6,938.40
  6. Step 6: Final answer
    x = 3,826.87

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1.5x scale

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.