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Finding the Fourth Proportional to 2,610.71, 3,600.34 and 2,081.35

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Solution

The fourth proportional to 2,610.71, 3,600.34 and 2,081.35 is: 2,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.71 : 3,600.34 = 2,081.35 : x
  2. Step 2: Convert to fraction form
    2,610.71/3,600.34 = 2,081.35/x
  3. Step 3: Cross multiply
    2,610.71x = 3,600.34 × 2,081.35
  4. Step 4: Simplify right side
    2,610.71x = 7,493,567.66
  5. Step 5: Solve for x
    x = 7,493,567.66/2,610.71
  6. Step 6: Final answer
    x = 2,870.32

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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.