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Finding the Fourth Proportional to 2,474.75, 3,415.10 and 1,355.74

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Solution

The fourth proportional to 2,474.75, 3,415.10 and 1,355.74 is: 1,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.75 : 3,415.10 = 1,355.74 : x
  2. Step 2: Convert to fraction form
    2,474.75/3,415.10 = 1,355.74/x
  3. Step 3: Cross multiply
    2,474.75x = 3,415.10 × 1,355.74
  4. Step 4: Simplify right side
    2,474.75x = 4,629,972.36
  5. Step 5: Solve for x
    x = 4,629,972.36/2,474.75
  6. Step 6: Final answer
    x = 1,870.88

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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.