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Finding the Fourth Proportional to 2,471.88, 3,411 and 1,424.02

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Solution

The fourth proportional to 2,471.88, 3,411 and 1,424.02 is: 1,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.88 : 3,411 = 1,424.02 : x
  2. Step 2: Convert to fraction form
    2,471.88/3,411 = 1,424.02/x
  3. Step 3: Cross multiply
    2,471.88x = 3,411 × 1,424.02
  4. Step 4: Simplify right side
    2,471.88x = 4,857,332.22
  5. Step 5: Solve for x
    x = 4,857,332.22/2,471.88
  6. Step 6: Final answer
    x = 1,965.04

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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.