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Finding the Fourth Proportional to 1,534.83, 2,117.91 and 871.71

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Solution

The fourth proportional to 1,534.83, 2,117.91 and 871.71 is: 1,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.83 : 2,117.91 = 871.71 : x
  2. Step 2: Convert to fraction form
    1,534.83/2,117.91 = 871.71/x
  3. Step 3: Cross multiply
    1,534.83x = 2,117.91 × 871.71
  4. Step 4: Simplify right side
    1,534.83x = 1,846,203.33
  5. Step 5: Solve for x
    x = 1,846,203.33/1,534.83
  6. Step 6: Final answer
    x = 1,202.87

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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.