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Finding the Fourth Proportional to 21,166.83, 31,751.01 and 8,020.17

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Solution

The fourth proportional to 21,166.83, 31,751.01 and 8,020.17 is: 12,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.83 : 31,751.01 = 8,020.17 : x
  2. Step 2: Convert to fraction form
    21,166.83/31,751.01 = 8,020.17/x
  3. Step 3: Cross multiply
    21,166.83x = 31,751.01 × 8,020.17
  4. Step 4: Simplify right side
    21,166.83x = 254,648,497.87
  5. Step 5: Solve for x
    x = 254,648,497.87/21,166.83
  6. Step 6: Final answer
    x = 12,030.54

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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.