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Finding the Fourth Proportional to 2,474.51, 3,414.92 and 1,980.77

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Solution

The fourth proportional to 2,474.51, 3,414.92 and 1,980.77 is: 2,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.51 : 3,414.92 = 1,980.77 : x
  2. Step 2: Convert to fraction form
    2,474.51/3,414.92 = 1,980.77/x
  3. Step 3: Cross multiply
    2,474.51x = 3,414.92 × 1,980.77
  4. Step 4: Simplify right side
    2,474.51x = 6,764,144.11
  5. Step 5: Solve for x
    x = 6,764,144.11/2,474.51
  6. Step 6: Final answer
    x = 2,733.53

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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.