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Finding the Fourth Proportional to 2,440, 3,367.20 and 1,777.41

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Solution

The fourth proportional to 2,440, 3,367.20 and 1,777.41 is: 2,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440 : 3,367.20 = 1,777.41 : x
  2. Step 2: Convert to fraction form
    2,440/3,367.20 = 1,777.41/x
  3. Step 3: Cross multiply
    2,440x = 3,367.20 × 1,777.41
  4. Step 4: Simplify right side
    2,440x = 5,984,894.95
  5. Step 5: Solve for x
    x = 5,984,894.95/2,440
  6. Step 6: Final answer
    x = 2,452.83

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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.