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Finding the Fourth Proportional to 3,812.13, 5,718.74 and 1,347.84

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Solution

The fourth proportional to 3,812.13, 5,718.74 and 1,347.84 is: 2,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.13 : 5,718.74 = 1,347.84 : x
  2. Step 2: Convert to fraction form
    3,812.13/5,718.74 = 1,347.84/x
  3. Step 3: Cross multiply
    3,812.13x = 5,718.74 × 1,347.84
  4. Step 4: Simplify right side
    3,812.13x = 7,707,939.78
  5. Step 5: Solve for x
    x = 7,707,939.78/3,812.13
  6. Step 6: Final answer
    x = 2,021.95

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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.