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Finding the Fourth Proportional to 2,866.78, 3,956.21 and 1,607.77

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Solution

The fourth proportional to 2,866.78, 3,956.21 and 1,607.77 is: 2,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.78 : 3,956.21 = 1,607.77 : x
  2. Step 2: Convert to fraction form
    2,866.78/3,956.21 = 1,607.77/x
  3. Step 3: Cross multiply
    2,866.78x = 3,956.21 × 1,607.77
  4. Step 4: Simplify right side
    2,866.78x = 6,360,675.75
  5. Step 5: Solve for x
    x = 6,360,675.75/2,866.78
  6. Step 6: Final answer
    x = 2,218.75

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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.