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Finding the Fourth Proportional to 2,866.75, 3,956.31 and 1,607.76

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Solution

The fourth proportional to 2,866.75, 3,956.31 and 1,607.76 is: 2,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.75 : 3,956.31 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    2,866.75/3,956.31 = 1,607.76/x
  3. Step 3: Cross multiply
    2,866.75x = 3,956.31 × 1,607.76
  4. Step 4: Simplify right side
    2,866.75x = 6,360,796.97
  5. Step 5: Solve for x
    x = 6,360,796.97/2,866.75
  6. Step 6: Final answer
    x = 2,218.82

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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.