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Finding the Fourth Proportional to 1,431.16, 1,975.17 and 871.96

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Solution

The fourth proportional to 1,431.16, 1,975.17 and 871.96 is: 1,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.16 : 1,975.17 = 871.96 : x
  2. Step 2: Convert to fraction form
    1,431.16/1,975.17 = 871.96/x
  3. Step 3: Cross multiply
    1,431.16x = 1,975.17 × 871.96
  4. Step 4: Simplify right side
    1,431.16x = 1,722,269.23
  5. Step 5: Solve for x
    x = 1,722,269.23/1,431.16
  6. Step 6: Final answer
    x = 1,203.41

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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.