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Finding the Fourth Proportional to 12,997.92, 19,498.50 and 4,230.48

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Solution

The fourth proportional to 12,997.92, 19,498.50 and 4,230.48 is: 6,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.92 : 19,498.50 = 4,230.48 : x
  2. Step 2: Convert to fraction form
    12,997.92/19,498.50 = 4,230.48/x
  3. Step 3: Cross multiply
    12,997.92x = 19,498.50 × 4,230.48
  4. Step 4: Simplify right side
    12,997.92x = 82,488,014.28
  5. Step 5: Solve for x
    x = 82,488,014.28/12,997.92
  6. Step 6: Final answer
    x = 6,346.25

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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.