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Finding the Fourth Proportional to 8,463.59, 12,698.42 and 3,783.20

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Solution

The fourth proportional to 8,463.59, 12,698.42 and 3,783.20 is: 5,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.59 : 12,698.42 = 3,783.20 : x
  2. Step 2: Convert to fraction form
    8,463.59/12,698.42 = 3,783.20/x
  3. Step 3: Cross multiply
    8,463.59x = 12,698.42 × 3,783.20
  4. Step 4: Simplify right side
    8,463.59x = 48,040,675.37
  5. Step 5: Solve for x
    x = 48,040,675.37/8,463.59
  6. Step 6: Final answer
    x = 5,676.16

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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.