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Finding the Fourth Proportional to 2,422.71, 3,342.47 and 2,187

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Solution

The fourth proportional to 2,422.71, 3,342.47 and 2,187 is: 3,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.71 : 3,342.47 = 2,187 : x
  2. Step 2: Convert to fraction form
    2,422.71/3,342.47 = 2,187/x
  3. Step 3: Cross multiply
    2,422.71x = 3,342.47 × 2,187
  4. Step 4: Simplify right side
    2,422.71x = 7,309,970.96
  5. Step 5: Solve for x
    x = 7,309,970.96/2,422.71
  6. Step 6: Final answer
    x = 3,017.27

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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.