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Finding the Fourth Proportional to 2,763.02, 3,810.10 and 2,133.65

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Solution

The fourth proportional to 2,763.02, 3,810.10 and 2,133.65 is: 2,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.02 : 3,810.10 = 2,133.65 : x
  2. Step 2: Convert to fraction form
    2,763.02/3,810.10 = 2,133.65/x
  3. Step 3: Cross multiply
    2,763.02x = 3,810.10 × 2,133.65
  4. Step 4: Simplify right side
    2,763.02x = 8,129,390.15
  5. Step 5: Solve for x
    x = 8,129,390.15/2,763.02
  6. Step 6: Final answer
    x = 2,942.22

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1.5x scale

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.