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Finding the Fourth Proportional to 21,356.16, 32,020.44 and 8,884.78

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Solution

The fourth proportional to 21,356.16, 32,020.44 and 8,884.78 is: 13,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.16 : 32,020.44 = 8,884.78 : x
  2. Step 2: Convert to fraction form
    21,356.16/32,020.44 = 8,884.78/x
  3. Step 3: Cross multiply
    21,356.16x = 32,020.44 × 8,884.78
  4. Step 4: Simplify right side
    21,356.16x = 284,494,564.90
  5. Step 5: Solve for x
    x = 284,494,564.90/21,356.16
  6. Step 6: Final answer
    x = 13,321.43

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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.