Home / 2,431.36-3,646.95-871.30

Finding the Fourth Proportional to 2,431.36, 3,646.95 and 871.30

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Solution

The fourth proportional to 2,431.36, 3,646.95 and 871.30 is: 1,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.36 : 3,646.95 = 871.30 : x
  2. Step 2: Convert to fraction form
    2,431.36/3,646.95 = 871.30/x
  3. Step 3: Cross multiply
    2,431.36x = 3,646.95 × 871.30
  4. Step 4: Simplify right side
    2,431.36x = 3,177,587.54
  5. Step 5: Solve for x
    x = 3,177,587.54/2,431.36
  6. Step 6: Final answer
    x = 1,306.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.