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Finding the Fourth Proportional to 1,691.96, 2,334.80 and 1,063.12

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Solution

The fourth proportional to 1,691.96, 2,334.80 and 1,063.12 is: 1,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.96 : 2,334.80 = 1,063.12 : x
  2. Step 2: Convert to fraction form
    1,691.96/2,334.80 = 1,063.12/x
  3. Step 3: Cross multiply
    1,691.96x = 2,334.80 × 1,063.12
  4. Step 4: Simplify right side
    1,691.96x = 2,482,172.58
  5. Step 5: Solve for x
    x = 2,482,172.58/1,691.96
  6. Step 6: Final answer
    x = 1,467.04

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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.