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Finding the Fourth Proportional to 21,606.78, 32,409.54 and 11,808.11

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Solution

The fourth proportional to 21,606.78, 32,409.54 and 11,808.11 is: 17,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.78 : 32,409.54 = 11,808.11 : x
  2. Step 2: Convert to fraction form
    21,606.78/32,409.54 = 11,808.11/x
  3. Step 3: Cross multiply
    21,606.78x = 32,409.54 × 11,808.11
  4. Step 4: Simplify right side
    21,606.78x = 382,695,413.37
  5. Step 5: Solve for x
    x = 382,695,413.37/21,606.78
  6. Step 6: Final answer
    x = 17,711.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.