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Finding the Fourth Proportional to 21,329.84, 31,981.09 and 8,858.48

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Solution

The fourth proportional to 21,329.84, 31,981.09 and 8,858.48 is: 13,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.84 : 31,981.09 = 8,858.48 : x
  2. Step 2: Convert to fraction form
    21,329.84/31,981.09 = 8,858.48/x
  3. Step 3: Cross multiply
    21,329.84x = 31,981.09 × 8,858.48
  4. Step 4: Simplify right side
    21,329.84x = 283,303,641.95
  5. Step 5: Solve for x
    x = 283,303,641.95/21,329.84
  6. Step 6: Final answer
    x = 13,282.03

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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.