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Finding the Fourth Proportional to 8,428.44, 12,642.60 and 4,032.60

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Solution

The fourth proportional to 8,428.44, 12,642.60 and 4,032.60 is: 6,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.44 : 12,642.60 = 4,032.60 : x
  2. Step 2: Convert to fraction form
    8,428.44/12,642.60 = 4,032.60/x
  3. Step 3: Cross multiply
    8,428.44x = 12,642.60 × 4,032.60
  4. Step 4: Simplify right side
    8,428.44x = 50,982,548.76
  5. Step 5: Solve for x
    x = 50,982,548.76/8,428.44
  6. Step 6: Final answer
    x = 6,048.87

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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.