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Finding the Fourth Proportional to 2,574.56, 3,861.78 and 626.78

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Solution

The fourth proportional to 2,574.56, 3,861.78 and 626.78 is: 940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.56 : 3,861.78 = 626.78 : x
  2. Step 2: Convert to fraction form
    2,574.56/3,861.78 = 626.78/x
  3. Step 3: Cross multiply
    2,574.56x = 3,861.78 × 626.78
  4. Step 4: Simplify right side
    2,574.56x = 2,420,467.16
  5. Step 5: Solve for x
    x = 2,420,467.16/2,574.56
  6. Step 6: Final answer
    x = 940.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.