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Finding the Fourth Proportional to 19,980, 27,565.38 and 13,268.88

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Solution

The fourth proportional to 19,980, 27,565.38 and 13,268.88 is: 18,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 27,565.38 = 13,268.88 : x
  2. Step 2: Convert to fraction form
    19,980/27,565.38 = 13,268.88/x
  3. Step 3: Cross multiply
    19,980x = 27,565.38 × 13,268.88
  4. Step 4: Simplify right side
    19,980x = 365,761,719.37
  5. Step 5: Solve for x
    x = 365,761,719.37/19,980
  6. Step 6: Final answer
    x = 18,306.39

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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.