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Finding the Fourth Proportional to 2,574.78, 3,861.26 and 930.90

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Solution

The fourth proportional to 2,574.78, 3,861.26 and 930.90 is: 1,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.78 : 3,861.26 = 930.90 : x
  2. Step 2: Convert to fraction form
    2,574.78/3,861.26 = 930.90/x
  3. Step 3: Cross multiply
    2,574.78x = 3,861.26 × 930.90
  4. Step 4: Simplify right side
    2,574.78x = 3,594,446.93
  5. Step 5: Solve for x
    x = 3,594,446.93/2,574.78
  6. Step 6: Final answer
    x = 1,396.02

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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.