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Finding the Fourth Proportional to 21,912.75, 32,852.72 and 7,112.84

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Solution

The fourth proportional to 21,912.75, 32,852.72 and 7,112.84 is: 10,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.75 : 32,852.72 = 7,112.84 : x
  2. Step 2: Convert to fraction form
    21,912.75/32,852.72 = 7,112.84/x
  3. Step 3: Cross multiply
    21,912.75x = 32,852.72 × 7,112.84
  4. Step 4: Simplify right side
    21,912.75x = 233,675,994.44
  5. Step 5: Solve for x
    x = 233,675,994.44/21,912.75
  6. Step 6: Final answer
    x = 10,663.93

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1.5x scale

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.