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Finding the Fourth Proportional to 2,809.34, 3,876.90 and 1,630.64

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Solution

The fourth proportional to 2,809.34, 3,876.90 and 1,630.64 is: 2,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.34 : 3,876.90 = 1,630.64 : x
  2. Step 2: Convert to fraction form
    2,809.34/3,876.90 = 1,630.64/x
  3. Step 3: Cross multiply
    2,809.34x = 3,876.90 × 1,630.64
  4. Step 4: Simplify right side
    2,809.34x = 6,321,828.22
  5. Step 5: Solve for x
    x = 6,321,828.22/2,809.34
  6. Step 6: Final answer
    x = 2,250.29

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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.