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Finding the Fourth Proportional to 7,355.26, 10,143.34 and 5,674

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Solution

The fourth proportional to 7,355.26, 10,143.34 and 5,674 is: 7,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.26 : 10,143.34 = 5,674 : x
  2. Step 2: Convert to fraction form
    7,355.26/10,143.34 = 5,674/x
  3. Step 3: Cross multiply
    7,355.26x = 10,143.34 × 5,674
  4. Step 4: Simplify right side
    7,355.26x = 57,553,311.16
  5. Step 5: Solve for x
    x = 57,553,311.16/7,355.26
  6. Step 6: Final answer
    x = 7,824.78

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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.