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Finding the Fourth Proportional to 10,881.33, 16,323 and 3,860.65

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Solution

The fourth proportional to 10,881.33, 16,323 and 3,860.65 is: 5,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.33 : 16,323 = 3,860.65 : x
  2. Step 2: Convert to fraction form
    10,881.33/16,323 = 3,860.65/x
  3. Step 3: Cross multiply
    10,881.33x = 16,323 × 3,860.65
  4. Step 4: Simplify right side
    10,881.33x = 63,017,389.95
  5. Step 5: Solve for x
    x = 63,017,389.95/10,881.33
  6. Step 6: Final answer
    x = 5,791.33

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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.