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Finding the Fourth Proportional to 19,782.84, 29,663.46 and 8,086.44

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Solution

The fourth proportional to 19,782.84, 29,663.46 and 8,086.44 is: 12,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.84 : 29,663.46 = 8,086.44 : x
  2. Step 2: Convert to fraction form
    19,782.84/29,663.46 = 8,086.44/x
  3. Step 3: Cross multiply
    19,782.84x = 29,663.46 × 8,086.44
  4. Step 4: Simplify right side
    19,782.84x = 239,871,789.48
  5. Step 5: Solve for x
    x = 239,871,789.48/19,782.84
  6. Step 6: Final answer
    x = 12,125.25

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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.