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Finding the Fourth Proportional to 21,871.62, 32,807.94 and 7,832.63

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Solution

The fourth proportional to 21,871.62, 32,807.94 and 7,832.63 is: 11,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.62 : 32,807.94 = 7,832.63 : x
  2. Step 2: Convert to fraction form
    21,871.62/32,807.94 = 7,832.63/x
  3. Step 3: Cross multiply
    21,871.62x = 32,807.94 × 7,832.63
  4. Step 4: Simplify right side
    21,871.62x = 256,972,507.73
  5. Step 5: Solve for x
    x = 256,972,507.73/21,871.62
  6. Step 6: Final answer
    x = 11,749.13

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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.