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Finding the Fourth Proportional to 15,881.20, 21,866.04 and 13,486.44

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Solution

The fourth proportional to 15,881.20, 21,866.04 and 13,486.44 is: 18,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.20 : 21,866.04 = 13,486.44 : x
  2. Step 2: Convert to fraction form
    15,881.20/21,866.04 = 13,486.44/x
  3. Step 3: Cross multiply
    15,881.20x = 21,866.04 × 13,486.44
  4. Step 4: Simplify right side
    15,881.20x = 294,895,036.50
  5. Step 5: Solve for x
    x = 294,895,036.50/15,881.20
  6. Step 6: Final answer
    x = 18,568.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.