Home / 2,315.80-3,471-1,016.02

Finding the Fourth Proportional to 2,315.80, 3,471 and 1,016.02

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Solution

The fourth proportional to 2,315.80, 3,471 and 1,016.02 is: 1,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.80 : 3,471 = 1,016.02 : x
  2. Step 2: Convert to fraction form
    2,315.80/3,471 = 1,016.02/x
  3. Step 3: Cross multiply
    2,315.80x = 3,471 × 1,016.02
  4. Step 4: Simplify right side
    2,315.80x = 3,526,605.42
  5. Step 5: Solve for x
    x = 3,526,605.42/2,315.80
  6. Step 6: Final answer
    x = 1,522.85

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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.