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Finding the Fourth Proportional to 21,344, 32,018.56 and 6,550.98

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Solution

The fourth proportional to 21,344, 32,018.56 and 6,550.98 is: 9,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344 : 32,018.56 = 6,550.98 : x
  2. Step 2: Convert to fraction form
    21,344/32,018.56 = 6,550.98/x
  3. Step 3: Cross multiply
    21,344x = 32,018.56 × 6,550.98
  4. Step 4: Simplify right side
    21,344x = 209,752,913.43
  5. Step 5: Solve for x
    x = 209,752,913.43/21,344
  6. Step 6: Final answer
    x = 9,827.25

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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.