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Finding the Fourth Proportional to 2,809.32, 3,876.76 and 1,630.76

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Solution

The fourth proportional to 2,809.32, 3,876.76 and 1,630.76 is: 2,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.32 : 3,876.76 = 1,630.76 : x
  2. Step 2: Convert to fraction form
    2,809.32/3,876.76 = 1,630.76/x
  3. Step 3: Cross multiply
    2,809.32x = 3,876.76 × 1,630.76
  4. Step 4: Simplify right side
    2,809.32x = 6,322,065.14
  5. Step 5: Solve for x
    x = 6,322,065.14/2,809.32
  6. Step 6: Final answer
    x = 2,250.39

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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.