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Finding the Fourth Proportional to 2,095.62, 3,142.08 and 634.38

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Solution

The fourth proportional to 2,095.62, 3,142.08 and 634.38 is: 951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.62 : 3,142.08 = 634.38 : x
  2. Step 2: Convert to fraction form
    2,095.62/3,142.08 = 634.38/x
  3. Step 3: Cross multiply
    2,095.62x = 3,142.08 × 634.38
  4. Step 4: Simplify right side
    2,095.62x = 1,993,272.71
  5. Step 5: Solve for x
    x = 1,993,272.71/2,095.62
  6. Step 6: Final answer
    x = 951.16

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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.