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Finding the Fourth Proportional to 21,408.30, 32,115.51 and 6,618.51

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Solution

The fourth proportional to 21,408.30, 32,115.51 and 6,618.51 is: 9,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.30 : 32,115.51 = 6,618.51 : x
  2. Step 2: Convert to fraction form
    21,408.30/32,115.51 = 6,618.51/x
  3. Step 3: Cross multiply
    21,408.30x = 32,115.51 × 6,618.51
  4. Step 4: Simplify right side
    21,408.30x = 212,556,824.09
  5. Step 5: Solve for x
    x = 212,556,824.09/21,408.30
  6. Step 6: Final answer
    x = 9,928.71

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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.