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Finding the Fourth Proportional to 7,136.78, 10,707.24 and 2,974.64

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Solution

The fourth proportional to 7,136.78, 10,707.24 and 2,974.64 is: 4,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.78 : 10,707.24 = 2,974.64 : x
  2. Step 2: Convert to fraction form
    7,136.78/10,707.24 = 2,974.64/x
  3. Step 3: Cross multiply
    7,136.78x = 10,707.24 × 2,974.64
  4. Step 4: Simplify right side
    7,136.78x = 31,850,130.86
  5. Step 5: Solve for x
    x = 31,850,130.86/7,136.78
  6. Step 6: Final answer
    x = 4,462.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.