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Finding the Fourth Proportional to 5,171.90, 7,759.10 and 1,661.90

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Solution

The fourth proportional to 5,171.90, 7,759.10 and 1,661.90 is: 2,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.90 : 7,759.10 = 1,661.90 : x
  2. Step 2: Convert to fraction form
    5,171.90/7,759.10 = 1,661.90/x
  3. Step 3: Cross multiply
    5,171.90x = 7,759.10 × 1,661.90
  4. Step 4: Simplify right side
    5,171.90x = 12,894,813.65
  5. Step 5: Solve for x
    x = 12,894,813.65/5,171.90
  6. Step 6: Final answer
    x = 2,493.25

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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.