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Finding the Fourth Proportional to 3,746.78, 5,620.11 and 1,553.90

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Solution

The fourth proportional to 3,746.78, 5,620.11 and 1,553.90 is: 2,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.78 : 5,620.11 = 1,553.90 : x
  2. Step 2: Convert to fraction form
    3,746.78/5,620.11 = 1,553.90/x
  3. Step 3: Cross multiply
    3,746.78x = 5,620.11 × 1,553.90
  4. Step 4: Simplify right side
    3,746.78x = 8,733,088.93
  5. Step 5: Solve for x
    x = 8,733,088.93/3,746.78
  6. Step 6: Final answer
    x = 2,330.83

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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.