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Finding the Fourth Proportional to 3,930.61, 5,391 and 3,487.74

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Solution

The fourth proportional to 3,930.61, 5,391 and 3,487.74 is: 4,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.61 : 5,391 = 3,487.74 : x
  2. Step 2: Convert to fraction form
    3,930.61/5,391 = 3,487.74/x
  3. Step 3: Cross multiply
    3,930.61x = 5,391 × 3,487.74
  4. Step 4: Simplify right side
    3,930.61x = 18,802,406.34
  5. Step 5: Solve for x
    x = 18,802,406.34/3,930.61
  6. Step 6: Final answer
    x = 4,783.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.