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Finding the Fourth Proportional to 2,822.94, 4,227.12 and 2,509.47

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Solution

The fourth proportional to 2,822.94, 4,227.12 and 2,509.47 is: 3,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.94 : 4,227.12 = 2,509.47 : x
  2. Step 2: Convert to fraction form
    2,822.94/4,227.12 = 2,509.47/x
  3. Step 3: Cross multiply
    2,822.94x = 4,227.12 × 2,509.47
  4. Step 4: Simplify right side
    2,822.94x = 10,607,830.83
  5. Step 5: Solve for x
    x = 10,607,830.83/2,822.94
  6. Step 6: Final answer
    x = 3,757.72

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1.5x scale

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.