Home / 2,133.37-3,200.12-962.11

Finding the Fourth Proportional to 2,133.37, 3,200.12 and 962.11

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Solution

The fourth proportional to 2,133.37, 3,200.12 and 962.11 is: 1,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.37 : 3,200.12 = 962.11 : x
  2. Step 2: Convert to fraction form
    2,133.37/3,200.12 = 962.11/x
  3. Step 3: Cross multiply
    2,133.37x = 3,200.12 × 962.11
  4. Step 4: Simplify right side
    2,133.37x = 3,078,846.64
  5. Step 5: Solve for x
    x = 3,078,846.64/2,133.37
  6. Step 6: Final answer
    x = 1,443.19

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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.