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Finding the Fourth Proportional to 5,195.16, 7,169.38 and 2,837.45

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Solution

The fourth proportional to 5,195.16, 7,169.38 and 2,837.45 is: 3,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.16 : 7,169.38 = 2,837.45 : x
  2. Step 2: Convert to fraction form
    5,195.16/7,169.38 = 2,837.45/x
  3. Step 3: Cross multiply
    5,195.16x = 7,169.38 × 2,837.45
  4. Step 4: Simplify right side
    5,195.16x = 20,342,768.11
  5. Step 5: Solve for x
    x = 20,342,768.11/5,195.16
  6. Step 6: Final answer
    x = 3,915.72

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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.