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Finding the Fourth Proportional to 21,846, 30,151.62 and 13,897.47

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Solution

The fourth proportional to 21,846, 30,151.62 and 13,897.47 is: 19,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 30,151.62 = 13,897.47 : x
  2. Step 2: Convert to fraction form
    21,846/30,151.62 = 13,897.47/x
  3. Step 3: Cross multiply
    21,846x = 30,151.62 × 13,897.47
  4. Step 4: Simplify right side
    21,846x = 419,031,234.40
  5. Step 5: Solve for x
    x = 419,031,234.40/21,846
  6. Step 6: Final answer
    x = 19,181.14

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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.