Home / 2,211.90-3,318.07-824.91

Finding the Fourth Proportional to 2,211.90, 3,318.07 and 824.91

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Solution

The fourth proportional to 2,211.90, 3,318.07 and 824.91 is: 1,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.90 : 3,318.07 = 824.91 : x
  2. Step 2: Convert to fraction form
    2,211.90/3,318.07 = 824.91/x
  3. Step 3: Cross multiply
    2,211.90x = 3,318.07 × 824.91
  4. Step 4: Simplify right side
    2,211.90x = 2,737,105.00
  5. Step 5: Solve for x
    x = 2,737,105.00/2,211.90
  6. Step 6: Final answer
    x = 1,237.45

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1.5x scale

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.