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Finding the Fourth Proportional to 7,710.72, 10,640.87 and 4,174

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Solution

The fourth proportional to 7,710.72, 10,640.87 and 4,174 is: 5,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.72 : 10,640.87 = 4,174 : x
  2. Step 2: Convert to fraction form
    7,710.72/10,640.87 = 4,174/x
  3. Step 3: Cross multiply
    7,710.72x = 10,640.87 × 4,174
  4. Step 4: Simplify right side
    7,710.72x = 44,414,991.38
  5. Step 5: Solve for x
    x = 44,414,991.38/7,710.72
  6. Step 6: Final answer
    x = 5,760.16

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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.