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Finding the Fourth Proportional to 6,096.68, 8,412.98 and 3,578.90

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Solution

The fourth proportional to 6,096.68, 8,412.98 and 3,578.90 is: 4,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.68 : 8,412.98 = 3,578.90 : x
  2. Step 2: Convert to fraction form
    6,096.68/8,412.98 = 3,578.90/x
  3. Step 3: Cross multiply
    6,096.68x = 8,412.98 × 3,578.90
  4. Step 4: Simplify right side
    6,096.68x = 30,109,154.16
  5. Step 5: Solve for x
    x = 30,109,154.16/6,096.68
  6. Step 6: Final answer
    x = 4,938.62

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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.