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Finding the Fourth Proportional to 7,813.29, 11,719.98 and 3,196.29

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Solution

The fourth proportional to 7,813.29, 11,719.98 and 3,196.29 is: 4,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.29 : 11,719.98 = 3,196.29 : x
  2. Step 2: Convert to fraction form
    7,813.29/11,719.98 = 3,196.29/x
  3. Step 3: Cross multiply
    7,813.29x = 11,719.98 × 3,196.29
  4. Step 4: Simplify right side
    7,813.29x = 37,460,454.87
  5. Step 5: Solve for x
    x = 37,460,454.87/7,813.29
  6. Step 6: Final answer
    x = 4,794.45

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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.