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Finding the Fourth Proportional to 3,748.22, 5,622.78 and 1,555.76

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Solution

The fourth proportional to 3,748.22, 5,622.78 and 1,555.76 is: 2,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.22 : 5,622.78 = 1,555.76 : x
  2. Step 2: Convert to fraction form
    3,748.22/5,622.78 = 1,555.76/x
  3. Step 3: Cross multiply
    3,748.22x = 5,622.78 × 1,555.76
  4. Step 4: Simplify right side
    3,748.22x = 8,747,668.10
  5. Step 5: Solve for x
    x = 8,747,668.10/3,748.22
  6. Step 6: Final answer
    x = 2,333.82

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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.