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Finding the Fourth Proportional to 21,321.95, 31,994.49 and 8,850.53

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Solution

The fourth proportional to 21,321.95, 31,994.49 and 8,850.53 is: 13,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.95 : 31,994.49 = 8,850.53 : x
  2. Step 2: Convert to fraction form
    21,321.95/31,994.49 = 8,850.53/x
  3. Step 3: Cross multiply
    21,321.95x = 31,994.49 × 8,850.53
  4. Step 4: Simplify right side
    21,321.95x = 283,168,077.00
  5. Step 5: Solve for x
    x = 283,168,077.00/21,321.95
  6. Step 6: Final answer
    x = 13,280.59

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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.