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Finding the Fourth Proportional to 2,133.94, 3,200.74 and 747.13

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Solution

The fourth proportional to 2,133.94, 3,200.74 and 747.13 is: 1,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.94 : 3,200.74 = 747.13 : x
  2. Step 2: Convert to fraction form
    2,133.94/3,200.74 = 747.13/x
  3. Step 3: Cross multiply
    2,133.94x = 3,200.74 × 747.13
  4. Step 4: Simplify right side
    2,133.94x = 2,391,359.01
  5. Step 5: Solve for x
    x = 2,391,359.01/2,133.94
  6. Step 6: Final answer
    x = 1,120.63

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1.5x scale

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.