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Finding the Fourth Proportional to 5,880, 8,114.40 and 3,396.48

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Solution

The fourth proportional to 5,880, 8,114.40 and 3,396.48 is: 4,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 8,114.40 = 3,396.48 : x
  2. Step 2: Convert to fraction form
    5,880/8,114.40 = 3,396.48/x
  3. Step 3: Cross multiply
    5,880x = 8,114.40 × 3,396.48
  4. Step 4: Simplify right side
    5,880x = 27,560,397.31
  5. Step 5: Solve for x
    x = 27,560,397.31/5,880
  6. Step 6: Final answer
    x = 4,687.14

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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.