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Finding the Fourth Proportional to 2,286.88, 3,155.84 and 1,292

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Solution

The fourth proportional to 2,286.88, 3,155.84 and 1,292 is: 1,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.88 : 3,155.84 = 1,292 : x
  2. Step 2: Convert to fraction form
    2,286.88/3,155.84 = 1,292/x
  3. Step 3: Cross multiply
    2,286.88x = 3,155.84 × 1,292
  4. Step 4: Simplify right side
    2,286.88x = 4,077,345.28
  5. Step 5: Solve for x
    x = 4,077,345.28/2,286.88
  6. Step 6: Final answer
    x = 1,782.93

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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.