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Finding the Fourth Proportional to 2,133.34, 3,199.92 and 1,267

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Solution

The fourth proportional to 2,133.34, 3,199.92 and 1,267 is: 1,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.34 : 3,199.92 = 1,267 : x
  2. Step 2: Convert to fraction form
    2,133.34/3,199.92 = 1,267/x
  3. Step 3: Cross multiply
    2,133.34x = 3,199.92 × 1,267
  4. Step 4: Simplify right side
    2,133.34x = 4,054,298.64
  5. Step 5: Solve for x
    x = 4,054,298.64/2,133.34
  6. Step 6: Final answer
    x = 1,900.45

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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.