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Finding the Fourth Proportional to 12,794.54, 19,188.16 and 8,107.47

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Solution

The fourth proportional to 12,794.54, 19,188.16 and 8,107.47 is: 12,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.54 : 19,188.16 = 8,107.47 : x
  2. Step 2: Convert to fraction form
    12,794.54/19,188.16 = 8,107.47/x
  3. Step 3: Cross multiply
    12,794.54x = 19,188.16 × 8,107.47
  4. Step 4: Simplify right side
    12,794.54x = 155,567,411.29
  5. Step 5: Solve for x
    x = 155,567,411.29/12,794.54
  6. Step 6: Final answer
    x = 12,158.90

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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.