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Finding the Fourth Proportional to 5,150.66, 7,725.17 and 1,640.21

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Solution

The fourth proportional to 5,150.66, 7,725.17 and 1,640.21 is: 2,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.66 : 7,725.17 = 1,640.21 : x
  2. Step 2: Convert to fraction form
    5,150.66/7,725.17 = 1,640.21/x
  3. Step 3: Cross multiply
    5,150.66x = 7,725.17 × 1,640.21
  4. Step 4: Simplify right side
    5,150.66x = 12,670,854.26
  5. Step 5: Solve for x
    x = 12,670,854.26/5,150.66
  6. Step 6: Final answer
    x = 2,460.05

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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.