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Finding the Fourth Proportional to 2,489, 3,733.98 and 1,121

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Solution

The fourth proportional to 2,489, 3,733.98 and 1,121 is: 1,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489 : 3,733.98 = 1,121 : x
  2. Step 2: Convert to fraction form
    2,489/3,733.98 = 1,121/x
  3. Step 3: Cross multiply
    2,489x = 3,733.98 × 1,121
  4. Step 4: Simplify right side
    2,489x = 4,185,791.58
  5. Step 5: Solve for x
    x = 4,185,791.58/2,489
  6. Step 6: Final answer
    x = 1,681.72

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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.