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Finding the Fourth Proportional to 1,910.64, 2,863.80 and 934.68

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Solution

The fourth proportional to 1,910.64, 2,863.80 and 934.68 is: 1,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.64 : 2,863.80 = 934.68 : x
  2. Step 2: Convert to fraction form
    1,910.64/2,863.80 = 934.68/x
  3. Step 3: Cross multiply
    1,910.64x = 2,863.80 × 934.68
  4. Step 4: Simplify right side
    1,910.64x = 2,676,736.58
  5. Step 5: Solve for x
    x = 2,676,736.58/1,910.64
  6. Step 6: Final answer
    x = 1,400.96

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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.