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Finding the Fourth Proportional to 3,322.71, 4,987.71 and 1,937.61

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Solution

The fourth proportional to 3,322.71, 4,987.71 and 1,937.61 is: 2,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.71 : 4,987.71 = 1,937.61 : x
  2. Step 2: Convert to fraction form
    3,322.71/4,987.71 = 1,937.61/x
  3. Step 3: Cross multiply
    3,322.71x = 4,987.71 × 1,937.61
  4. Step 4: Simplify right side
    3,322.71x = 9,664,236.77
  5. Step 5: Solve for x
    x = 9,664,236.77/3,322.71
  6. Step 6: Final answer
    x = 2,908.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.