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Finding the Fourth Proportional to 2,371, 3,272 and 1,323.12

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Solution

The fourth proportional to 2,371, 3,272 and 1,323.12 is: 1,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 3,272 = 1,323.12 : x
  2. Step 2: Convert to fraction form
    2,371/3,272 = 1,323.12/x
  3. Step 3: Cross multiply
    2,371x = 3,272 × 1,323.12
  4. Step 4: Simplify right side
    2,371x = 4,329,248.64
  5. Step 5: Solve for x
    x = 4,329,248.64/2,371
  6. Step 6: Final answer
    x = 1,825.92

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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.