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Finding the Fourth Proportional to 19,988.33, 29,964.84 and 8,152.00

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Solution

The fourth proportional to 19,988.33, 29,964.84 and 8,152.00 is: 12,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988.33 : 29,964.84 = 8,152.00 : x
  2. Step 2: Convert to fraction form
    19,988.33/29,964.84 = 8,152.00/x
  3. Step 3: Cross multiply
    19,988.33x = 29,964.84 × 8,152.00
  4. Step 4: Simplify right side
    19,988.33x = 244,273,321.15
  5. Step 5: Solve for x
    x = 244,273,321.15/19,988.33
  6. Step 6: Final answer
    x = 12,220.80

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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.