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Finding the Fourth Proportional to 2,809.89, 3,877.88 and 1,630.94

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Solution

The fourth proportional to 2,809.89, 3,877.88 and 1,630.94 is: 2,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.89 : 3,877.88 = 1,630.94 : x
  2. Step 2: Convert to fraction form
    2,809.89/3,877.88 = 1,630.94/x
  3. Step 3: Cross multiply
    2,809.89x = 3,877.88 × 1,630.94
  4. Step 4: Simplify right side
    2,809.89x = 6,324,562.06
  5. Step 5: Solve for x
    x = 6,324,562.06/2,809.89
  6. Step 6: Final answer
    x = 2,250.82

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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.