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Finding the Fourth Proportional to 1,534.40, 2,117.50 and 871.24

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Solution

The fourth proportional to 1,534.40, 2,117.50 and 871.24 is: 1,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.40 : 2,117.50 = 871.24 : x
  2. Step 2: Convert to fraction form
    1,534.40/2,117.50 = 871.24/x
  3. Step 3: Cross multiply
    1,534.40x = 2,117.50 × 871.24
  4. Step 4: Simplify right side
    1,534.40x = 1,844,850.70
  5. Step 5: Solve for x
    x = 1,844,850.70/1,534.40
  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.