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Finding the Fourth Proportional to 5,640.80, 8,461.20 and 1,942.70

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Solution

The fourth proportional to 5,640.80, 8,461.20 and 1,942.70 is: 2,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.80 : 8,461.20 = 1,942.70 : x
  2. Step 2: Convert to fraction form
    5,640.80/8,461.20 = 1,942.70/x
  3. Step 3: Cross multiply
    5,640.80x = 8,461.20 × 1,942.70
  4. Step 4: Simplify right side
    5,640.80x = 16,437,573.24
  5. Step 5: Solve for x
    x = 16,437,573.24/5,640.80
  6. Step 6: Final answer
    x = 2,914.05

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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.