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Finding the Fourth Proportional to 5,105.64, 7,655.26 and 3,881

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Solution

The fourth proportional to 5,105.64, 7,655.26 and 3,881 is: 5,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.64 : 7,655.26 = 3,881 : x
  2. Step 2: Convert to fraction form
    5,105.64/7,655.26 = 3,881/x
  3. Step 3: Cross multiply
    5,105.64x = 7,655.26 × 3,881
  4. Step 4: Simplify right side
    5,105.64x = 29,710,064.06
  5. Step 5: Solve for x
    x = 29,710,064.06/5,105.64
  6. Step 6: Final answer
    x = 5,819.07

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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.