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Finding the Fourth Proportional to 5,150.76, 7,725.80 and 1,640.70

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Solution

The fourth proportional to 5,150.76, 7,725.80 and 1,640.70 is: 2,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.76 : 7,725.80 = 1,640.70 : x
  2. Step 2: Convert to fraction form
    5,150.76/7,725.80 = 1,640.70/x
  3. Step 3: Cross multiply
    5,150.76x = 7,725.80 × 1,640.70
  4. Step 4: Simplify right side
    5,150.76x = 12,675,720.06
  5. Step 5: Solve for x
    x = 12,675,720.06/5,150.76
  6. Step 6: Final answer
    x = 2,460.94

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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.