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Finding the Fourth Proportional to 8,739.92, 13,109.88 and 3,813.14

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Solution

The fourth proportional to 8,739.92, 13,109.88 and 3,813.14 is: 5,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.92 : 13,109.88 = 3,813.14 : x
  2. Step 2: Convert to fraction form
    8,739.92/13,109.88 = 3,813.14/x
  3. Step 3: Cross multiply
    8,739.92x = 13,109.88 × 3,813.14
  4. Step 4: Simplify right side
    8,739.92x = 49,989,807.82
  5. Step 5: Solve for x
    x = 49,989,807.82/8,739.92
  6. Step 6: Final answer
    x = 5,719.71

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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.