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Finding the Fourth Proportional to 8,318.40, 12,477.84 and 2,078.40

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Solution

The fourth proportional to 8,318.40, 12,477.84 and 2,078.40 is: 3,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.40 : 12,477.84 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    8,318.40/12,477.84 = 2,078.40/x
  3. Step 3: Cross multiply
    8,318.40x = 12,477.84 × 2,078.40
  4. Step 4: Simplify right side
    8,318.40x = 25,933,942.66
  5. Step 5: Solve for x
    x = 25,933,942.66/8,318.40
  6. Step 6: Final answer
    x = 3,117.66

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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.