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Finding the Fourth Proportional to 27,888, 38,494.08 and 17,952

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Solution

The fourth proportional to 27,888, 38,494.08 and 17,952 is: 24,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 38,494.08 = 17,952 : x
  2. Step 2: Convert to fraction form
    27,888/38,494.08 = 17,952/x
  3. Step 3: Cross multiply
    27,888x = 38,494.08 × 17,952
  4. Step 4: Simplify right side
    27,888x = 691,045,724.16
  5. Step 5: Solve for x
    x = 691,045,724.16/27,888
  6. Step 6: Final answer
    x = 24,779.32

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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.