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Finding the Fourth Proportional to 7,137.40, 10,705.90 and 3,241.80

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Solution

The fourth proportional to 7,137.40, 10,705.90 and 3,241.80 is: 4,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.40 : 10,705.90 = 3,241.80 : x
  2. Step 2: Convert to fraction form
    7,137.40/10,705.90 = 3,241.80/x
  3. Step 3: Cross multiply
    7,137.40x = 10,705.90 × 3,241.80
  4. Step 4: Simplify right side
    7,137.40x = 34,706,386.62
  5. Step 5: Solve for x
    x = 34,706,386.62/7,137.40
  6. Step 6: Final answer
    x = 4,862.61

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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.