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Finding the Fourth Proportional to 6,181, 8,529.96 and 3,386.68

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Solution

The fourth proportional to 6,181, 8,529.96 and 3,386.68 is: 4,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181 : 8,529.96 = 3,386.68 : x
  2. Step 2: Convert to fraction form
    6,181/8,529.96 = 3,386.68/x
  3. Step 3: Cross multiply
    6,181x = 8,529.96 × 3,386.68
  4. Step 4: Simplify right side
    6,181x = 28,888,244.93
  5. Step 5: Solve for x
    x = 28,888,244.93/6,181
  6. Step 6: Final answer
    x = 4,673.72

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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.