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Finding the Fourth Proportional to 21,181.50, 31,772.25 and 7,330.50

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Solution

The fourth proportional to 21,181.50, 31,772.25 and 7,330.50 is: 10,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.50 : 31,772.25 = 7,330.50 : x
  2. Step 2: Convert to fraction form
    21,181.50/31,772.25 = 7,330.50/x
  3. Step 3: Cross multiply
    21,181.50x = 31,772.25 × 7,330.50
  4. Step 4: Simplify right side
    21,181.50x = 232,906,478.63
  5. Step 5: Solve for x
    x = 232,906,478.63/21,181.50
  6. Step 6: Final answer
    x = 10,995.75

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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.