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Finding the Fourth Proportional to 2,533.77, 3,801.92 and 1,422.50

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Solution

The fourth proportional to 2,533.77, 3,801.92 and 1,422.50 is: 2,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.77 : 3,801.92 = 1,422.50 : x
  2. Step 2: Convert to fraction form
    2,533.77/3,801.92 = 1,422.50/x
  3. Step 3: Cross multiply
    2,533.77x = 3,801.92 × 1,422.50
  4. Step 4: Simplify right side
    2,533.77x = 5,408,205.08
  5. Step 5: Solve for x
    x = 5,408,205.08/2,533.77
  6. Step 6: Final answer
    x = 2,134.45

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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.