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Finding the Fourth Proportional to 5,557.68, 7,669.49 and 3,199.84

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Solution

The fourth proportional to 5,557.68, 7,669.49 and 3,199.84 is: 4,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.68 : 7,669.49 = 3,199.84 : x
  2. Step 2: Convert to fraction form
    5,557.68/7,669.49 = 3,199.84/x
  3. Step 3: Cross multiply
    5,557.68x = 7,669.49 × 3,199.84
  4. Step 4: Simplify right side
    5,557.68x = 24,541,105.71
  5. Step 5: Solve for x
    x = 24,541,105.71/5,557.68
  6. Step 6: Final answer
    x = 4,415.71

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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.