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Finding the Fourth Proportional to 2,757.47, 3,804.54 and 1,578.47

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Solution

The fourth proportional to 2,757.47, 3,804.54 and 1,578.47 is: 2,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.47 : 3,804.54 = 1,578.47 : x
  2. Step 2: Convert to fraction form
    2,757.47/3,804.54 = 1,578.47/x
  3. Step 3: Cross multiply
    2,757.47x = 3,804.54 × 1,578.47
  4. Step 4: Simplify right side
    2,757.47x = 6,005,352.25
  5. Step 5: Solve for x
    x = 6,005,352.25/2,757.47
  6. Step 6: Final answer
    x = 2,177.85

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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.