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Finding the Fourth Proportional to 22,299.84, 30,775.14 and 12,869.01

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Solution

The fourth proportional to 22,299.84, 30,775.14 and 12,869.01 is: 17,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.84 : 30,775.14 = 12,869.01 : x
  2. Step 2: Convert to fraction form
    22,299.84/30,775.14 = 12,869.01/x
  3. Step 3: Cross multiply
    22,299.84x = 30,775.14 × 12,869.01
  4. Step 4: Simplify right side
    22,299.84x = 396,045,584.41
  5. Step 5: Solve for x
    x = 396,045,584.41/22,299.84
  6. Step 6: Final answer
    x = 17,760.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.