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Finding the Fourth Proportional to 2,662.64, 3,671.12 and 2,071.92

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Solution

The fourth proportional to 2,662.64, 3,671.12 and 2,071.92 is: 2,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.64 : 3,671.12 = 2,071.92 : x
  2. Step 2: Convert to fraction form
    2,662.64/3,671.12 = 2,071.92/x
  3. Step 3: Cross multiply
    2,662.64x = 3,671.12 × 2,071.92
  4. Step 4: Simplify right side
    2,662.64x = 7,606,266.95
  5. Step 5: Solve for x
    x = 7,606,266.95/2,662.64
  6. Step 6: Final answer
    x = 2,856.66

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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.