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Finding the Fourth Proportional to 2,728.65, 3,765.36 and 1,549.71

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Solution

The fourth proportional to 2,728.65, 3,765.36 and 1,549.71 is: 2,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.65 : 3,765.36 = 1,549.71 : x
  2. Step 2: Convert to fraction form
    2,728.65/3,765.36 = 1,549.71/x
  3. Step 3: Cross multiply
    2,728.65x = 3,765.36 × 1,549.71
  4. Step 4: Simplify right side
    2,728.65x = 5,835,216.05
  5. Step 5: Solve for x
    x = 5,835,216.05/2,728.65
  6. Step 6: Final answer
    x = 2,138.50

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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.