Home / 2,315.50-3,472.98-584.14

Finding the Fourth Proportional to 2,315.50, 3,472.98 and 584.14

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Solution

The fourth proportional to 2,315.50, 3,472.98 and 584.14 is: 876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.50 : 3,472.98 = 584.14 : x
  2. Step 2: Convert to fraction form
    2,315.50/3,472.98 = 584.14/x
  3. Step 3: Cross multiply
    2,315.50x = 3,472.98 × 584.14
  4. Step 4: Simplify right side
    2,315.50x = 2,028,706.54
  5. Step 5: Solve for x
    x = 2,028,706.54/2,315.50
  6. Step 6: Final answer
    x = 876.14

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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.