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Finding the Fourth Proportional to 7,880, 10,874.40 and 4,343.25

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Solution

The fourth proportional to 7,880, 10,874.40 and 4,343.25 is: 5,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 10,874.40 = 4,343.25 : x
  2. Step 2: Convert to fraction form
    7,880/10,874.40 = 4,343.25/x
  3. Step 3: Cross multiply
    7,880x = 10,874.40 × 4,343.25
  4. Step 4: Simplify right side
    7,880x = 47,230,237.80
  5. Step 5: Solve for x
    x = 47,230,237.80/7,880
  6. Step 6: Final answer
    x = 5,993.69

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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.