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Finding the Fourth Proportional to 21,775.36, 32,662.32 and 7,924

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Solution

The fourth proportional to 21,775.36, 32,662.32 and 7,924 is: 11,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.36 : 32,662.32 = 7,924 : x
  2. Step 2: Convert to fraction form
    21,775.36/32,662.32 = 7,924/x
  3. Step 3: Cross multiply
    21,775.36x = 32,662.32 × 7,924
  4. Step 4: Simplify right side
    21,775.36x = 258,816,223.68
  5. Step 5: Solve for x
    x = 258,816,223.68/21,775.36
  6. Step 6: Final answer
    x = 11,885.74

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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.