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Finding the Fourth Proportional to 2,200.90, 3,300.99 and 814.89

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Solution

The fourth proportional to 2,200.90, 3,300.99 and 814.89 is: 1,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.90 : 3,300.99 = 814.89 : x
  2. Step 2: Convert to fraction form
    2,200.90/3,300.99 = 814.89/x
  3. Step 3: Cross multiply
    2,200.90x = 3,300.99 × 814.89
  4. Step 4: Simplify right side
    2,200.90x = 2,689,943.74
  5. Step 5: Solve for x
    x = 2,689,943.74/2,200.90
  6. Step 6: Final answer
    x = 1,222.20

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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.