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Finding the Fourth Proportional to 21,864, 32,944.98 and 19,477.02

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Solution

The fourth proportional to 21,864, 32,944.98 and 19,477.02 is: 29,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 32,944.98 = 19,477.02 : x
  2. Step 2: Convert to fraction form
    21,864/32,944.98 = 19,477.02/x
  3. Step 3: Cross multiply
    21,864x = 32,944.98 × 19,477.02
  4. Step 4: Simplify right side
    21,864x = 641,670,034.36
  5. Step 5: Solve for x
    x = 641,670,034.36/21,864
  6. Step 6: Final answer
    x = 29,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.