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Finding the Fourth Proportional to 2,611.96, 3,935.90 and 2,159.90

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Solution

The fourth proportional to 2,611.96, 3,935.90 and 2,159.90 is: 3,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.96 : 3,935.90 = 2,159.90 : x
  2. Step 2: Convert to fraction form
    2,611.96/3,935.90 = 2,159.90/x
  3. Step 3: Cross multiply
    2,611.96x = 3,935.90 × 2,159.90
  4. Step 4: Simplify right side
    2,611.96x = 8,501,150.41
  5. Step 5: Solve for x
    x = 8,501,150.41/2,611.96
  6. Step 6: Final answer
    x = 3,254.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.