Home / 2,124.34-3,186.49-826.11

Finding the Fourth Proportional to 2,124.34, 3,186.49 and 826.11

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Solution

The fourth proportional to 2,124.34, 3,186.49 and 826.11 is: 1,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.34 : 3,186.49 = 826.11 : x
  2. Step 2: Convert to fraction form
    2,124.34/3,186.49 = 826.11/x
  3. Step 3: Cross multiply
    2,124.34x = 3,186.49 × 826.11
  4. Step 4: Simplify right side
    2,124.34x = 2,632,391.25
  5. Step 5: Solve for x
    x = 2,632,391.25/2,124.34
  6. Step 6: Final answer
    x = 1,239.16

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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.