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Finding the Fourth Proportional to 2,574.09, 3,861.09 and 1,275.30

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Solution

The fourth proportional to 2,574.09, 3,861.09 and 1,275.30 is: 1,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.09 : 3,861.09 = 1,275.30 : x
  2. Step 2: Convert to fraction form
    2,574.09/3,861.09 = 1,275.30/x
  3. Step 3: Cross multiply
    2,574.09x = 3,861.09 × 1,275.30
  4. Step 4: Simplify right side
    2,574.09x = 4,924,048.08
  5. Step 5: Solve for x
    x = 4,924,048.08/2,574.09
  6. Step 6: Final answer
    x = 1,912.93

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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.