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Finding the Fourth Proportional to 2,471.37, 3,708.52 and 912.47

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Solution

The fourth proportional to 2,471.37, 3,708.52 and 912.47 is: 1,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.37 : 3,708.52 = 912.47 : x
  2. Step 2: Convert to fraction form
    2,471.37/3,708.52 = 912.47/x
  3. Step 3: Cross multiply
    2,471.37x = 3,708.52 × 912.47
  4. Step 4: Simplify right side
    2,471.37x = 3,383,913.24
  5. Step 5: Solve for x
    x = 3,383,913.24/2,471.37
  6. Step 6: Final answer
    x = 1,369.25

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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.