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Finding the Fourth Proportional to 2,803.54, 4,205.32 and 1,341.88

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Solution

The fourth proportional to 2,803.54, 4,205.32 and 1,341.88 is: 2,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.54 : 4,205.32 = 1,341.88 : x
  2. Step 2: Convert to fraction form
    2,803.54/4,205.32 = 1,341.88/x
  3. Step 3: Cross multiply
    2,803.54x = 4,205.32 × 1,341.88
  4. Step 4: Simplify right side
    2,803.54x = 5,643,034.80
  5. Step 5: Solve for x
    x = 5,643,034.80/2,803.54
  6. Step 6: Final answer
    x = 2,012.82

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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.