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Finding the Fourth Proportional to 8,193.80, 12,266.40 and 4,905.20

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Solution

The fourth proportional to 8,193.80, 12,266.40 and 4,905.20 is: 7,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.80 : 12,266.40 = 4,905.20 : x
  2. Step 2: Convert to fraction form
    8,193.80/12,266.40 = 4,905.20/x
  3. Step 3: Cross multiply
    8,193.80x = 12,266.40 × 4,905.20
  4. Step 4: Simplify right side
    8,193.80x = 60,169,145.28
  5. Step 5: Solve for x
    x = 60,169,145.28/8,193.80
  6. Step 6: Final answer
    x = 7,343.25

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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.