Home / 7,822.19-11,732.38-3,142.01

Finding the Fourth Proportional to 7,822.19, 11,732.38 and 3,142.01

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Solution

The fourth proportional to 7,822.19, 11,732.38 and 3,142.01 is: 4,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.19 : 11,732.38 = 3,142.01 : x
  2. Step 2: Convert to fraction form
    7,822.19/11,732.38 = 3,142.01/x
  3. Step 3: Cross multiply
    7,822.19x = 11,732.38 × 3,142.01
  4. Step 4: Simplify right side
    7,822.19x = 36,863,239.57
  5. Step 5: Solve for x
    x = 36,863,239.57/7,822.19
  6. Step 6: Final answer
    x = 4,712.65

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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.