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Finding the Fourth Proportional to 3,512.84, 5,266 and 1,323.02

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Solution

The fourth proportional to 3,512.84, 5,266 and 1,323.02 is: 1,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.84 : 5,266 = 1,323.02 : x
  2. Step 2: Convert to fraction form
    3,512.84/5,266 = 1,323.02/x
  3. Step 3: Cross multiply
    3,512.84x = 5,266 × 1,323.02
  4. Step 4: Simplify right side
    3,512.84x = 6,967,023.32
  5. Step 5: Solve for x
    x = 6,967,023.32/3,512.84
  6. Step 6: Final answer
    x = 1,983.30

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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.