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Finding the Fourth Proportional to 3,438.98, 5,160.32 and 1,491.33

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Solution

The fourth proportional to 3,438.98, 5,160.32 and 1,491.33 is: 2,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.98 : 5,160.32 = 1,491.33 : x
  2. Step 2: Convert to fraction form
    3,438.98/5,160.32 = 1,491.33/x
  3. Step 3: Cross multiply
    3,438.98x = 5,160.32 × 1,491.33
  4. Step 4: Simplify right side
    3,438.98x = 7,695,740.03
  5. Step 5: Solve for x
    x = 7,695,740.03/3,438.98
  6. Step 6: Final answer
    x = 2,237.80

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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.