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Finding the Fourth Proportional to 3,159.96, 4,362.78 and 2,827.82

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Solution

The fourth proportional to 3,159.96, 4,362.78 and 2,827.82 is: 3,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.96 : 4,362.78 = 2,827.82 : x
  2. Step 2: Convert to fraction form
    3,159.96/4,362.78 = 2,827.82/x
  3. Step 3: Cross multiply
    3,159.96x = 4,362.78 × 2,827.82
  4. Step 4: Simplify right side
    3,159.96x = 12,337,156.54
  5. Step 5: Solve for x
    x = 12,337,156.54/3,159.96
  6. Step 6: Final answer
    x = 3,904.21

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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.