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Finding the Fourth Proportional to 21,954.81, 32,932.30 and 5,314.81

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Solution

The fourth proportional to 21,954.81, 32,932.30 and 5,314.81 is: 7,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.81 : 32,932.30 = 5,314.81 : x
  2. Step 2: Convert to fraction form
    21,954.81/32,932.30 = 5,314.81/x
  3. Step 3: Cross multiply
    21,954.81x = 32,932.30 × 5,314.81
  4. Step 4: Simplify right side
    21,954.81x = 175,028,979.76
  5. Step 5: Solve for x
    x = 175,028,979.76/21,954.81
  6. Step 6: Final answer
    x = 7,972.24

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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.