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Finding the Fourth Proportional to 7,111.50, 10,672.11 and 2,494.50

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Solution

The fourth proportional to 7,111.50, 10,672.11 and 2,494.50 is: 3,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.50 : 10,672.11 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    7,111.50/10,672.11 = 2,494.50/x
  3. Step 3: Cross multiply
    7,111.50x = 10,672.11 × 2,494.50
  4. Step 4: Simplify right side
    7,111.50x = 26,621,578.40
  5. Step 5: Solve for x
    x = 26,621,578.40/7,111.50
  6. Step 6: Final answer
    x = 3,743.45

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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.