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Finding the Fourth Proportional to 5,170, 7,134.69 and 2,812.18

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Solution

The fourth proportional to 5,170, 7,134.69 and 2,812.18 is: 3,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 7,134.69 = 2,812.18 : x
  2. Step 2: Convert to fraction form
    5,170/7,134.69 = 2,812.18/x
  3. Step 3: Cross multiply
    5,170x = 7,134.69 × 2,812.18
  4. Step 4: Simplify right side
    5,170x = 20,064,032.52
  5. Step 5: Solve for x
    x = 20,064,032.52/5,170
  6. Step 6: Final answer
    x = 3,880.86

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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.