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Finding the Fourth Proportional to 5,150.96, 7,723.50 and 1,640.28

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Solution

The fourth proportional to 5,150.96, 7,723.50 and 1,640.28 is: 2,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.96 : 7,723.50 = 1,640.28 : x
  2. Step 2: Convert to fraction form
    5,150.96/7,723.50 = 1,640.28/x
  3. Step 3: Cross multiply
    5,150.96x = 7,723.50 × 1,640.28
  4. Step 4: Simplify right side
    5,150.96x = 12,668,702.58
  5. Step 5: Solve for x
    x = 12,668,702.58/5,150.96
  6. Step 6: Final answer
    x = 2,459.48

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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.