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Finding the Fourth Proportional to 2,561, 3,532.94 and 2,228.90

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Solution

The fourth proportional to 2,561, 3,532.94 and 2,228.90 is: 3,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 3,532.94 = 2,228.90 : x
  2. Step 2: Convert to fraction form
    2,561/3,532.94 = 2,228.90/x
  3. Step 3: Cross multiply
    2,561x = 3,532.94 × 2,228.90
  4. Step 4: Simplify right side
    2,561x = 7,874,569.97
  5. Step 5: Solve for x
    x = 7,874,569.97/2,561
  6. Step 6: Final answer
    x = 3,074.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.