Home / 20,776.24-31,174-9,087.92

Finding the Fourth Proportional to 20,776.24, 31,174 and 9,087.92

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Solution

The fourth proportional to 20,776.24, 31,174 and 9,087.92 is: 13,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.24 : 31,174 = 9,087.92 : x
  2. Step 2: Convert to fraction form
    20,776.24/31,174 = 9,087.92/x
  3. Step 3: Cross multiply
    20,776.24x = 31,174 × 9,087.92
  4. Step 4: Simplify right side
    20,776.24x = 283,306,818.08
  5. Step 5: Solve for x
    x = 283,306,818.08/20,776.24
  6. Step 6: Final answer
    x = 13,636.10

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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.