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Finding the Fourth Proportional to 2,471.70, 3,708.16 and 1,485.43

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Solution

The fourth proportional to 2,471.70, 3,708.16 and 1,485.43 is: 2,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.70 : 3,708.16 = 1,485.43 : x
  2. Step 2: Convert to fraction form
    2,471.70/3,708.16 = 1,485.43/x
  3. Step 3: Cross multiply
    2,471.70x = 3,708.16 × 1,485.43
  4. Step 4: Simplify right side
    2,471.70x = 5,508,212.11
  5. Step 5: Solve for x
    x = 5,508,212.11/2,471.70
  6. Step 6: Final answer
    x = 2,228.51

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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.