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Finding the Fourth Proportional to 21,878.61, 32,811.03 and 7,084.11

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Solution

The fourth proportional to 21,878.61, 32,811.03 and 7,084.11 is: 10,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.61 : 32,811.03 = 7,084.11 : x
  2. Step 2: Convert to fraction form
    21,878.61/32,811.03 = 7,084.11/x
  3. Step 3: Cross multiply
    21,878.61x = 32,811.03 × 7,084.11
  4. Step 4: Simplify right side
    21,878.61x = 232,436,945.73
  5. Step 5: Solve for x
    x = 232,436,945.73/21,878.61
  6. Step 6: Final answer
    x = 10,623.94

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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.