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Finding the Fourth Proportional to 2,960.50, 4,087.50 and 1,841.90

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Solution

The fourth proportional to 2,960.50, 4,087.50 and 1,841.90 is: 2,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.50 : 4,087.50 = 1,841.90 : x
  2. Step 2: Convert to fraction form
    2,960.50/4,087.50 = 1,841.90/x
  3. Step 3: Cross multiply
    2,960.50x = 4,087.50 × 1,841.90
  4. Step 4: Simplify right side
    2,960.50x = 7,528,766.25
  5. Step 5: Solve for x
    x = 7,528,766.25/2,960.50
  6. Step 6: Final answer
    x = 2,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.