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Finding the Fourth Proportional to 7,876.99, 11,815.91 and 3,196.30

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Solution

The fourth proportional to 7,876.99, 11,815.91 and 3,196.30 is: 4,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.99 : 11,815.91 = 3,196.30 : x
  2. Step 2: Convert to fraction form
    7,876.99/11,815.91 = 3,196.30/x
  3. Step 3: Cross multiply
    7,876.99x = 11,815.91 × 3,196.30
  4. Step 4: Simplify right side
    7,876.99x = 37,767,193.13
  5. Step 5: Solve for x
    x = 37,767,193.13/7,876.99
  6. Step 6: Final answer
    x = 4,794.62

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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.