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Finding the Fourth Proportional to 2,764.68, 4,125.70 and 2,278.68

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Solution

The fourth proportional to 2,764.68, 4,125.70 and 2,278.68 is: 3,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.68 : 4,125.70 = 2,278.68 : x
  2. Step 2: Convert to fraction form
    2,764.68/4,125.70 = 2,278.68/x
  3. Step 3: Cross multiply
    2,764.68x = 4,125.70 × 2,278.68
  4. Step 4: Simplify right side
    2,764.68x = 9,401,150.08
  5. Step 5: Solve for x
    x = 9,401,150.08/2,764.68
  6. Step 6: Final answer
    x = 3,400.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.