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Finding the Fourth Proportional to 8,464.46, 12,699.28 and 3,788.40

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Solution

The fourth proportional to 8,464.46, 12,699.28 and 3,788.40 is: 5,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.46 : 12,699.28 = 3,788.40 : x
  2. Step 2: Convert to fraction form
    8,464.46/12,699.28 = 3,788.40/x
  3. Step 3: Cross multiply
    8,464.46x = 12,699.28 × 3,788.40
  4. Step 4: Simplify right side
    8,464.46x = 48,109,952.35
  5. Step 5: Solve for x
    x = 48,109,952.35/8,464.46
  6. Step 6: Final answer
    x = 5,683.76

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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.