Home / 20,982.30-31,462.65-7,827.90

Finding the Fourth Proportional to 20,982.30, 31,462.65 and 7,827.90

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Solution

The fourth proportional to 20,982.30, 31,462.65 and 7,827.90 is: 11,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.30 : 31,462.65 = 7,827.90 : x
  2. Step 2: Convert to fraction form
    20,982.30/31,462.65 = 7,827.90/x
  3. Step 3: Cross multiply
    20,982.30x = 31,462.65 × 7,827.90
  4. Step 4: Simplify right side
    20,982.30x = 246,286,477.94
  5. Step 5: Solve for x
    x = 246,286,477.94/20,982.30
  6. Step 6: Final answer
    x = 11,737.82

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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.