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Finding the Fourth Proportional to 19,871.44, 29,813.12 and 8,019.12

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Solution

The fourth proportional to 19,871.44, 29,813.12 and 8,019.12 is: 12,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.44 : 29,813.12 = 8,019.12 : x
  2. Step 2: Convert to fraction form
    19,871.44/29,813.12 = 8,019.12/x
  3. Step 3: Cross multiply
    19,871.44x = 29,813.12 × 8,019.12
  4. Step 4: Simplify right side
    19,871.44x = 239,074,986.85
  5. Step 5: Solve for x
    x = 239,074,986.85/19,871.44
  6. Step 6: Final answer
    x = 12,031.09

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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.