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Finding the Fourth Proportional to 2,680.74, 3,700.42 and 2,400.48

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Solution

The fourth proportional to 2,680.74, 3,700.42 and 2,400.48 is: 3,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.74 : 3,700.42 = 2,400.48 : x
  2. Step 2: Convert to fraction form
    2,680.74/3,700.42 = 2,400.48/x
  3. Step 3: Cross multiply
    2,680.74x = 3,700.42 × 2,400.48
  4. Step 4: Simplify right side
    2,680.74x = 8,882,784.20
  5. Step 5: Solve for x
    x = 8,882,784.20/2,680.74
  6. Step 6: Final answer
    x = 3,313.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.