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Finding the Fourth Proportional to 19,768, 29,652.03 and 8,081.20

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Solution

The fourth proportional to 19,768, 29,652.03 and 8,081.20 is: 12,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 29,652.03 = 8,081.20 : x
  2. Step 2: Convert to fraction form
    19,768/29,652.03 = 8,081.20/x
  3. Step 3: Cross multiply
    19,768x = 29,652.03 × 8,081.20
  4. Step 4: Simplify right side
    19,768x = 239,623,984.84
  5. Step 5: Solve for x
    x = 239,623,984.84/19,768
  6. Step 6: Final answer
    x = 12,121.81

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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.