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Finding the Fourth Proportional to 19,920, 27,489.60 and 11,088

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Solution

The fourth proportional to 19,920, 27,489.60 and 11,088 is: 15,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920 : 27,489.60 = 11,088 : x
  2. Step 2: Convert to fraction form
    19,920/27,489.60 = 11,088/x
  3. Step 3: Cross multiply
    19,920x = 27,489.60 × 11,088
  4. Step 4: Simplify right side
    19,920x = 304,804,684.80
  5. Step 5: Solve for x
    x = 304,804,684.80/19,920
  6. Step 6: Final answer
    x = 15,301.44

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Why These Related Problems?

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