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Finding the Fourth Proportional to 3,877.05, 5,815.98 and 2,235.45

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Solution

The fourth proportional to 3,877.05, 5,815.98 and 2,235.45 is: 3,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.05 : 5,815.98 = 2,235.45 : x
  2. Step 2: Convert to fraction form
    3,877.05/5,815.98 = 2,235.45/x
  3. Step 3: Cross multiply
    3,877.05x = 5,815.98 × 2,235.45
  4. Step 4: Simplify right side
    3,877.05x = 13,001,332.49
  5. Step 5: Solve for x
    x = 13,001,332.49/3,877.05
  6. Step 6: Final answer
    x = 3,353.41

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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.