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Finding the Fourth Proportional to 22,660.29, 33,985.89 and 7,869.87

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Solution

The fourth proportional to 22,660.29, 33,985.89 and 7,869.87 is: 11,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.29 : 33,985.89 = 7,869.87 : x
  2. Step 2: Convert to fraction form
    22,660.29/33,985.89 = 7,869.87/x
  3. Step 3: Cross multiply
    22,660.29x = 33,985.89 × 7,869.87
  4. Step 4: Simplify right side
    22,660.29x = 267,464,536.13
  5. Step 5: Solve for x
    x = 267,464,536.13/22,660.29
  6. Step 6: Final answer
    x = 11,803.23

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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.