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Finding the Fourth Proportional to 1,431.49, 1,974.87 and 871.51

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Solution

The fourth proportional to 1,431.49, 1,974.87 and 871.51 is: 1,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.49 : 1,974.87 = 871.51 : x
  2. Step 2: Convert to fraction form
    1,431.49/1,974.87 = 871.51/x
  3. Step 3: Cross multiply
    1,431.49x = 1,974.87 × 871.51
  4. Step 4: Simplify right side
    1,431.49x = 1,721,118.95
  5. Step 5: Solve for x
    x = 1,721,118.95/1,431.49
  6. Step 6: Final answer
    x = 1,202.33

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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.