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Finding the Fourth Proportional to 18,564.25, 27,776.62 and 13,028.40

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Solution

The fourth proportional to 18,564.25, 27,776.62 and 13,028.40 is: 19,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.25 : 27,776.62 = 13,028.40 : x
  2. Step 2: Convert to fraction form
    18,564.25/27,776.62 = 13,028.40/x
  3. Step 3: Cross multiply
    18,564.25x = 27,776.62 × 13,028.40
  4. Step 4: Simplify right side
    18,564.25x = 361,884,916.01
  5. Step 5: Solve for x
    x = 361,884,916.01/18,564.25
  6. Step 6: Final answer
    x = 19,493.65

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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.