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Finding the Fourth Proportional to 1,461.30, 2,016.62 and 871.89

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Solution

The fourth proportional to 1,461.30, 2,016.62 and 871.89 is: 1,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.30 : 2,016.62 = 871.89 : x
  2. Step 2: Convert to fraction form
    1,461.30/2,016.62 = 871.89/x
  3. Step 3: Cross multiply
    1,461.30x = 2,016.62 × 871.89
  4. Step 4: Simplify right side
    1,461.30x = 1,758,266.45
  5. Step 5: Solve for x
    x = 1,758,266.45/1,461.30
  6. Step 6: Final answer
    x = 1,203.22

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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.