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Finding the Fourth Proportional to 21,478.72, 32,217.48 and 8,828.08

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Solution

The fourth proportional to 21,478.72, 32,217.48 and 8,828.08 is: 13,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.72 : 32,217.48 = 8,828.08 : x
  2. Step 2: Convert to fraction form
    21,478.72/32,217.48 = 8,828.08/x
  3. Step 3: Cross multiply
    21,478.72x = 32,217.48 × 8,828.08
  4. Step 4: Simplify right side
    21,478.72x = 284,418,490.84
  5. Step 5: Solve for x
    x = 284,418,490.84/21,478.72
  6. Step 6: Final answer
    x = 13,241.87

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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.