Home / 2,972.31-4,100.70-1,822.11

Finding the Fourth Proportional to 2,972.31, 4,100.70 and 1,822.11

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Solution

The fourth proportional to 2,972.31, 4,100.70 and 1,822.11 is: 2,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.31 : 4,100.70 = 1,822.11 : x
  2. Step 2: Convert to fraction form
    2,972.31/4,100.70 = 1,822.11/x
  3. Step 3: Cross multiply
    2,972.31x = 4,100.70 × 1,822.11
  4. Step 4: Simplify right side
    2,972.31x = 7,471,926.48
  5. Step 5: Solve for x
    x = 7,471,926.48/2,972.31
  6. Step 6: Final answer
    x = 2,513.84

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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.