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Finding the Fourth Proportional to 19,891.40, 29,829.90 and 8,040.20

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Solution

The fourth proportional to 19,891.40, 29,829.90 and 8,040.20 is: 12,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.40 : 29,829.90 = 8,040.20 : x
  2. Step 2: Convert to fraction form
    19,891.40/29,829.90 = 8,040.20/x
  3. Step 3: Cross multiply
    19,891.40x = 29,829.90 × 8,040.20
  4. Step 4: Simplify right side
    19,891.40x = 239,838,361.98
  5. Step 5: Solve for x
    x = 239,838,361.98/19,891.40
  6. Step 6: Final answer
    x = 12,057.39

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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.