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Finding the Fourth Proportional to 21,321.84, 31,984.96 and 8,185.20

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Solution

The fourth proportional to 21,321.84, 31,984.96 and 8,185.20 is: 12,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.84 : 31,984.96 = 8,185.20 : x
  2. Step 2: Convert to fraction form
    21,321.84/31,984.96 = 8,185.20/x
  3. Step 3: Cross multiply
    21,321.84x = 31,984.96 × 8,185.20
  4. Step 4: Simplify right side
    21,321.84x = 261,803,294.59
  5. Step 5: Solve for x
    x = 261,803,294.59/21,321.84
  6. Step 6: Final answer
    x = 12,278.64

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1.5x scale

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.