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Finding the Fourth Proportional to 12,894.60, 19,349.10 and 5,497.80

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Solution

The fourth proportional to 12,894.60, 19,349.10 and 5,497.80 is: 8,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.60 : 19,349.10 = 5,497.80 : x
  2. Step 2: Convert to fraction form
    12,894.60/19,349.10 = 5,497.80/x
  3. Step 3: Cross multiply
    12,894.60x = 19,349.10 × 5,497.80
  4. Step 4: Simplify right side
    12,894.60x = 106,377,481.98
  5. Step 5: Solve for x
    x = 106,377,481.98/12,894.60
  6. Step 6: Final answer
    x = 8,249.77

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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.