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Finding the Fourth Proportional to 2,763.16, 4,143.30 and 815.10

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Solution

The fourth proportional to 2,763.16, 4,143.30 and 815.10 is: 1,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.16 : 4,143.30 = 815.10 : x
  2. Step 2: Convert to fraction form
    2,763.16/4,143.30 = 815.10/x
  3. Step 3: Cross multiply
    2,763.16x = 4,143.30 × 815.10
  4. Step 4: Simplify right side
    2,763.16x = 3,377,203.83
  5. Step 5: Solve for x
    x = 3,377,203.83/2,763.16
  6. Step 6: Final answer
    x = 1,222.23

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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.