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Finding the Fourth Proportional to 12,811.40, 19,227.90 and 6,243.20

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Solution

The fourth proportional to 12,811.40, 19,227.90 and 6,243.20 is: 9,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.40 : 19,227.90 = 6,243.20 : x
  2. Step 2: Convert to fraction form
    12,811.40/19,227.90 = 6,243.20/x
  3. Step 3: Cross multiply
    12,811.40x = 19,227.90 × 6,243.20
  4. Step 4: Simplify right side
    12,811.40x = 120,043,625.28
  5. Step 5: Solve for x
    x = 120,043,625.28/12,811.40
  6. Step 6: Final answer
    x = 9,370.06

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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.