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Finding the Fourth Proportional to 3,172.53, 4,375.64 and 2,424.63

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Solution

The fourth proportional to 3,172.53, 4,375.64 and 2,424.63 is: 3,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.53 : 4,375.64 = 2,424.63 : x
  2. Step 2: Convert to fraction form
    3,172.53/4,375.64 = 2,424.63/x
  3. Step 3: Cross multiply
    3,172.53x = 4,375.64 × 2,424.63
  4. Step 4: Simplify right side
    3,172.53x = 10,609,295.89
  5. Step 5: Solve for x
    x = 10,609,295.89/3,172.53
  6. Step 6: Final answer
    x = 3,344.11

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1.5x scale

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.