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Finding the Fourth Proportional to 3,108.78, 4,663.62 and 917.24

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Solution

The fourth proportional to 3,108.78, 4,663.62 and 917.24 is: 1,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.78 : 4,663.62 = 917.24 : x
  2. Step 2: Convert to fraction form
    3,108.78/4,663.62 = 917.24/x
  3. Step 3: Cross multiply
    3,108.78x = 4,663.62 × 917.24
  4. Step 4: Simplify right side
    3,108.78x = 4,277,658.81
  5. Step 5: Solve for x
    x = 4,277,658.81/3,108.78
  6. Step 6: Final answer
    x = 1,375.99

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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.