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Finding the Fourth Proportional to 2,175.68, 3,002.64 and 1,244

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Solution

The fourth proportional to 2,175.68, 3,002.64 and 1,244 is: 1,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.68 : 3,002.64 = 1,244 : x
  2. Step 2: Convert to fraction form
    2,175.68/3,002.64 = 1,244/x
  3. Step 3: Cross multiply
    2,175.68x = 3,002.64 × 1,244
  4. Step 4: Simplify right side
    2,175.68x = 3,735,284.16
  5. Step 5: Solve for x
    x = 3,735,284.16/2,175.68
  6. Step 6: Final answer
    x = 1,716.84

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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.