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Finding the Fourth Proportional to 19,715, 27,211.32 and 13,001.84

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Solution

The fourth proportional to 19,715, 27,211.32 and 13,001.84 is: 17,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715 : 27,211.32 = 13,001.84 : x
  2. Step 2: Convert to fraction form
    19,715/27,211.32 = 13,001.84/x
  3. Step 3: Cross multiply
    19,715x = 27,211.32 × 13,001.84
  4. Step 4: Simplify right side
    19,715x = 353,797,228.83
  5. Step 5: Solve for x
    x = 353,797,228.83/19,715
  6. Step 6: Final answer
    x = 17,945.59

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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.