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Finding the Fourth Proportional to 1,847.27, 2,760.11 and 1,782.71

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Solution

The fourth proportional to 1,847.27, 2,760.11 and 1,782.71 is: 2,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.27 : 2,760.11 = 1,782.71 : x
  2. Step 2: Convert to fraction form
    1,847.27/2,760.11 = 1,782.71/x
  3. Step 3: Cross multiply
    1,847.27x = 2,760.11 × 1,782.71
  4. Step 4: Simplify right side
    1,847.27x = 4,920,470.02
  5. Step 5: Solve for x
    x = 4,920,470.02/1,847.27
  6. Step 6: Final answer
    x = 2,663.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.