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Finding the Fourth Proportional to 3,133.92, 4,702.79 and 1,820.24

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Solution

The fourth proportional to 3,133.92, 4,702.79 and 1,820.24 is: 2,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.92 : 4,702.79 = 1,820.24 : x
  2. Step 2: Convert to fraction form
    3,133.92/4,702.79 = 1,820.24/x
  3. Step 3: Cross multiply
    3,133.92x = 4,702.79 × 1,820.24
  4. Step 4: Simplify right side
    3,133.92x = 8,560,205.14
  5. Step 5: Solve for x
    x = 8,560,205.14/3,133.92
  6. Step 6: Final answer
    x = 2,731.47

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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.