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Finding the Fourth Proportional to 4,486.91, 6,733.88 and 3,109.91

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Solution

The fourth proportional to 4,486.91, 6,733.88 and 3,109.91 is: 4,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.91 : 6,733.88 = 3,109.91 : x
  2. Step 2: Convert to fraction form
    4,486.91/6,733.88 = 3,109.91/x
  3. Step 3: Cross multiply
    4,486.91x = 6,733.88 × 3,109.91
  4. Step 4: Simplify right side
    4,486.91x = 20,941,760.75
  5. Step 5: Solve for x
    x = 20,941,760.75/4,486.91
  6. Step 6: Final answer
    x = 4,667.30

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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.