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Finding the Fourth Proportional to 19,882.64, 29,827.56 and 8,189.48

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Solution

The fourth proportional to 19,882.64, 29,827.56 and 8,189.48 is: 12,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.64 : 29,827.56 = 8,189.48 : x
  2. Step 2: Convert to fraction form
    19,882.64/29,827.56 = 8,189.48/x
  3. Step 3: Cross multiply
    19,882.64x = 29,827.56 × 8,189.48
  4. Step 4: Simplify right side
    19,882.64x = 244,272,056.93
  5. Step 5: Solve for x
    x = 244,272,056.93/19,882.64
  6. Step 6: Final answer
    x = 12,285.70

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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.