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Finding the Fourth Proportional to 1,812.13, 2,718.92 and 838.69

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Solution

The fourth proportional to 1,812.13, 2,718.92 and 838.69 is: 1,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.13 : 2,718.92 = 838.69 : x
  2. Step 2: Convert to fraction form
    1,812.13/2,718.92 = 838.69/x
  3. Step 3: Cross multiply
    1,812.13x = 2,718.92 × 838.69
  4. Step 4: Simplify right side
    1,812.13x = 2,280,331.01
  5. Step 5: Solve for x
    x = 2,280,331.01/1,812.13
  6. Step 6: Final answer
    x = 1,258.37

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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.