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Finding the Fourth Proportional to 1,534.78, 2,117.93 and 871.62

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Solution

The fourth proportional to 1,534.78, 2,117.93 and 871.62 is: 1,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.78 : 2,117.93 = 871.62 : x
  2. Step 2: Convert to fraction form
    1,534.78/2,117.93 = 871.62/x
  3. Step 3: Cross multiply
    1,534.78x = 2,117.93 × 871.62
  4. Step 4: Simplify right side
    1,534.78x = 1,846,025.79
  5. Step 5: Solve for x
    x = 1,846,025.79/1,534.78
  6. Step 6: Final answer
    x = 1,202.80

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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.