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Finding the Fourth Proportional to 2,215, 3,325.02 and 1,291.24

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Solution

The fourth proportional to 2,215, 3,325.02 and 1,291.24 is: 1,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,325.02 = 1,291.24 : x
  2. Step 2: Convert to fraction form
    2,215/3,325.02 = 1,291.24/x
  3. Step 3: Cross multiply
    2,215x = 3,325.02 × 1,291.24
  4. Step 4: Simplify right side
    2,215x = 4,293,398.82
  5. Step 5: Solve for x
    x = 4,293,398.82/2,215
  6. Step 6: Final answer
    x = 1,938.33

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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.