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Finding the Fourth Proportional to 1,953.78, 2,695.05 and 1,691.34

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Solution

The fourth proportional to 1,953.78, 2,695.05 and 1,691.34 is: 2,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.78 : 2,695.05 = 1,691.34 : x
  2. Step 2: Convert to fraction form
    1,953.78/2,695.05 = 1,691.34/x
  3. Step 3: Cross multiply
    1,953.78x = 2,695.05 × 1,691.34
  4. Step 4: Simplify right side
    1,953.78x = 4,558,245.87
  5. Step 5: Solve for x
    x = 4,558,245.87/1,953.78
  6. Step 6: Final answer
    x = 2,333.04

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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.