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Finding the Fourth Proportional to 12,844.80, 19,270.80 and 6,271.20

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Solution

The fourth proportional to 12,844.80, 19,270.80 and 6,271.20 is: 9,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.80 : 19,270.80 = 6,271.20 : x
  2. Step 2: Convert to fraction form
    12,844.80/19,270.80 = 6,271.20/x
  3. Step 3: Cross multiply
    12,844.80x = 19,270.80 × 6,271.20
  4. Step 4: Simplify right side
    12,844.80x = 120,851,040.96
  5. Step 5: Solve for x
    x = 120,851,040.96/12,844.80
  6. Step 6: Final answer
    x = 9,408.56

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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.