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Finding the Fourth Proportional to 8,238.16, 12,345.44 and 7,794.64

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Solution

The fourth proportional to 8,238.16, 12,345.44 and 7,794.64 is: 11,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.16 : 12,345.44 = 7,794.64 : x
  2. Step 2: Convert to fraction form
    8,238.16/12,345.44 = 7,794.64/x
  3. Step 3: Cross multiply
    8,238.16x = 12,345.44 × 7,794.64
  4. Step 4: Simplify right side
    8,238.16x = 96,228,260.44
  5. Step 5: Solve for x
    x = 96,228,260.44/8,238.16
  6. Step 6: Final answer
    x = 11,680.80

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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.