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Finding the Fourth Proportional to 21,329.00, 31,979.81 and 8,857.64

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Solution

The fourth proportional to 21,329.00, 31,979.81 and 8,857.64 is: 13,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.00 : 31,979.81 = 8,857.64 : x
  2. Step 2: Convert to fraction form
    21,329.00/31,979.81 = 8,857.64/x
  3. Step 3: Cross multiply
    21,329.00x = 31,979.81 × 8,857.64
  4. Step 4: Simplify right side
    21,329.00x = 283,265,506.49
  5. Step 5: Solve for x
    x = 283,265,506.49/21,329.00
  6. Step 6: Final answer
    x = 13,280.77

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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.