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Finding the Fourth Proportional to 4,138.47, 5,712 and 2,812.68

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Solution

The fourth proportional to 4,138.47, 5,712 and 2,812.68 is: 3,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.47 : 5,712 = 2,812.68 : x
  2. Step 2: Convert to fraction form
    4,138.47/5,712 = 2,812.68/x
  3. Step 3: Cross multiply
    4,138.47x = 5,712 × 2,812.68
  4. Step 4: Simplify right side
    4,138.47x = 16,066,028.16
  5. Step 5: Solve for x
    x = 16,066,028.16/4,138.47
  6. Step 6: Final answer
    x = 3,882.12

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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.