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Finding the Fourth Proportional to 19,881.20, 29,795.88 and 8,181.20

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Solution

The fourth proportional to 19,881.20, 29,795.88 and 8,181.20 is: 12,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.20 : 29,795.88 = 8,181.20 : x
  2. Step 2: Convert to fraction form
    19,881.20/29,795.88 = 8,181.20/x
  3. Step 3: Cross multiply
    19,881.20x = 29,795.88 × 8,181.20
  4. Step 4: Simplify right side
    19,881.20x = 243,766,053.46
  5. Step 5: Solve for x
    x = 243,766,053.46/19,881.20
  6. Step 6: Final answer
    x = 12,261.13

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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.