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Finding the Fourth Proportional to 5,919.77, 8,169 and 3,400.11

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Solution

The fourth proportional to 5,919.77, 8,169 and 3,400.11 is: 4,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.77 : 8,169 = 3,400.11 : x
  2. Step 2: Convert to fraction form
    5,919.77/8,169 = 3,400.11/x
  3. Step 3: Cross multiply
    5,919.77x = 8,169 × 3,400.11
  4. Step 4: Simplify right side
    5,919.77x = 27,775,457.75
  5. Step 5: Solve for x
    x = 27,775,457.75/5,919.77
  6. Step 6: Final answer
    x = 4,691.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.