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Finding the Fourth Proportional to 3,830.40, 5,747.04 and 2,609.32

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Solution

The fourth proportional to 3,830.40, 5,747.04 and 2,609.32 is: 3,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.40 : 5,747.04 = 2,609.32 : x
  2. Step 2: Convert to fraction form
    3,830.40/5,747.04 = 2,609.32/x
  3. Step 3: Cross multiply
    3,830.40x = 5,747.04 × 2,609.32
  4. Step 4: Simplify right side
    3,830.40x = 14,995,866.41
  5. Step 5: Solve for x
    x = 14,995,866.41/3,830.40
  6. Step 6: Final answer
    x = 3,914.96

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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.