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Finding the Fourth Proportional to 5,360, 7,396.80 and 3,002.14

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Solution

The fourth proportional to 5,360, 7,396.80 and 3,002.14 is: 4,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360 : 7,396.80 = 3,002.14 : x
  2. Step 2: Convert to fraction form
    5,360/7,396.80 = 3,002.14/x
  3. Step 3: Cross multiply
    5,360x = 7,396.80 × 3,002.14
  4. Step 4: Simplify right side
    5,360x = 22,206,192.17
  5. Step 5: Solve for x
    x = 22,206,192.17/5,360
  6. Step 6: Final answer
    x = 4,142.95

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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.