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Finding the Fourth Proportional to 20,808.33, 31,230.99 and 9,721.14

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Solution

The fourth proportional to 20,808.33, 31,230.99 and 9,721.14 is: 14,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.33 : 31,230.99 = 9,721.14 : x
  2. Step 2: Convert to fraction form
    20,808.33/31,230.99 = 9,721.14/x
  3. Step 3: Cross multiply
    20,808.33x = 31,230.99 × 9,721.14
  4. Step 4: Simplify right side
    20,808.33x = 303,600,826.13
  5. Step 5: Solve for x
    x = 303,600,826.13/20,808.33
  6. Step 6: Final answer
    x = 14,590.35

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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.