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Finding the Fourth Proportional to 1,640.52, 2,263.95 and 1,286.87

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Solution

The fourth proportional to 1,640.52, 2,263.95 and 1,286.87 is: 1,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.52 : 2,263.95 = 1,286.87 : x
  2. Step 2: Convert to fraction form
    1,640.52/2,263.95 = 1,286.87/x
  3. Step 3: Cross multiply
    1,640.52x = 2,263.95 × 1,286.87
  4. Step 4: Simplify right side
    1,640.52x = 2,913,398.02
  5. Step 5: Solve for x
    x = 2,913,398.02/1,640.52
  6. Step 6: Final answer
    x = 1,775.90

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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.