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Finding the Fourth Proportional to 5,190.91, 7,158.61 and 3,419.44

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Solution

The fourth proportional to 5,190.91, 7,158.61 and 3,419.44 is: 4,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.91 : 7,158.61 = 3,419.44 : x
  2. Step 2: Convert to fraction form
    5,190.91/7,158.61 = 3,419.44/x
  3. Step 3: Cross multiply
    5,190.91x = 7,158.61 × 3,419.44
  4. Step 4: Simplify right side
    5,190.91x = 24,478,437.38
  5. Step 5: Solve for x
    x = 24,478,437.38/5,190.91
  6. Step 6: Final answer
    x = 4,715.64

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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.