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Finding the Fourth Proportional to 9,078.60, 13,617.90 and 8,214.60

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Solution

The fourth proportional to 9,078.60, 13,617.90 and 8,214.60 is: 12,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.60 : 13,617.90 = 8,214.60 : x
  2. Step 2: Convert to fraction form
    9,078.60/13,617.90 = 8,214.60/x
  3. Step 3: Cross multiply
    9,078.60x = 13,617.90 × 8,214.60
  4. Step 4: Simplify right side
    9,078.60x = 111,865,601.34
  5. Step 5: Solve for x
    x = 111,865,601.34/9,078.60
  6. Step 6: Final answer
    x = 12,321.90

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1.5x scale

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.