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Finding the Fourth Proportional to 2,471.77, 3,722.31 and 2,151.01

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Solution

The fourth proportional to 2,471.77, 3,722.31 and 2,151.01 is: 3,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.77 : 3,722.31 = 2,151.01 : x
  2. Step 2: Convert to fraction form
    2,471.77/3,722.31 = 2,151.01/x
  3. Step 3: Cross multiply
    2,471.77x = 3,722.31 × 2,151.01
  4. Step 4: Simplify right side
    2,471.77x = 8,006,726.03
  5. Step 5: Solve for x
    x = 8,006,726.03/2,471.77
  6. Step 6: Final answer
    x = 3,239.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.