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Finding the Fourth Proportional to 2,265.98, 3,393.50 and 1,533.33

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Solution

The fourth proportional to 2,265.98, 3,393.50 and 1,533.33 is: 2,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.98 : 3,393.50 = 1,533.33 : x
  2. Step 2: Convert to fraction form
    2,265.98/3,393.50 = 1,533.33/x
  3. Step 3: Cross multiply
    2,265.98x = 3,393.50 × 1,533.33
  4. Step 4: Simplify right side
    2,265.98x = 5,203,347.69
  5. Step 5: Solve for x
    x = 5,203,347.69/2,265.98
  6. Step 6: Final answer
    x = 2,296.30

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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.