Home / 1,461.13-2,016.30-871.99

Finding the Fourth Proportional to 1,461.13, 2,016.30 and 871.99

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Solution

The fourth proportional to 1,461.13, 2,016.30 and 871.99 is: 1,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.13 : 2,016.30 = 871.99 : x
  2. Step 2: Convert to fraction form
    1,461.13/2,016.30 = 871.99/x
  3. Step 3: Cross multiply
    1,461.13x = 2,016.30 × 871.99
  4. Step 4: Simplify right side
    1,461.13x = 1,758,193.44
  5. Step 5: Solve for x
    x = 1,758,193.44/1,461.13
  6. Step 6: Final answer
    x = 1,203.31

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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.