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Finding the Fourth Proportional to 4,278.40, 6,401.40 and 2,820.40

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Solution

The fourth proportional to 4,278.40, 6,401.40 and 2,820.40 is: 4,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.40 : 6,401.40 = 2,820.40 : x
  2. Step 2: Convert to fraction form
    4,278.40/6,401.40 = 2,820.40/x
  3. Step 3: Cross multiply
    4,278.40x = 6,401.40 × 2,820.40
  4. Step 4: Simplify right side
    4,278.40x = 18,054,508.56
  5. Step 5: Solve for x
    x = 18,054,508.56/4,278.40
  6. Step 6: Final answer
    x = 4,219.92

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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.