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Finding the Fourth Proportional to 5,640.12, 8,461.08 and 2,865.65

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Solution

The fourth proportional to 5,640.12, 8,461.08 and 2,865.65 is: 4,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.12 : 8,461.08 = 2,865.65 : x
  2. Step 2: Convert to fraction form
    5,640.12/8,461.08 = 2,865.65/x
  3. Step 3: Cross multiply
    5,640.12x = 8,461.08 × 2,865.65
  4. Step 4: Simplify right side
    5,640.12x = 24,246,451.60
  5. Step 5: Solve for x
    x = 24,246,451.60/5,640.12
  6. Step 6: Final answer
    x = 4,298.92

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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.