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Finding the Fourth Proportional to 21,076.84, 31,614.53 and 5,282.01

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Solution

The fourth proportional to 21,076.84, 31,614.53 and 5,282.01 is: 7,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.84 : 31,614.53 = 5,282.01 : x
  2. Step 2: Convert to fraction form
    21,076.84/31,614.53 = 5,282.01/x
  3. Step 3: Cross multiply
    21,076.84x = 31,614.53 × 5,282.01
  4. Step 4: Simplify right side
    21,076.84x = 166,988,263.61
  5. Step 5: Solve for x
    x = 166,988,263.61/21,076.84
  6. Step 6: Final answer
    x = 7,922.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.