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Finding the Fourth Proportional to 3,314, 4,967.64 and 1,367.28

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Solution

The fourth proportional to 3,314, 4,967.64 and 1,367.28 is: 2,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314 : 4,967.64 = 1,367.28 : x
  2. Step 2: Convert to fraction form
    3,314/4,967.64 = 1,367.28/x
  3. Step 3: Cross multiply
    3,314x = 4,967.64 × 1,367.28
  4. Step 4: Simplify right side
    3,314x = 6,792,154.82
  5. Step 5: Solve for x
    x = 6,792,154.82/3,314
  6. Step 6: Final answer
    x = 2,049.53

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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.