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Finding the Fourth Proportional to 5,169.69, 7,752.14 and 1,659.05

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Solution

The fourth proportional to 5,169.69, 7,752.14 and 1,659.05 is: 2,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.69 : 7,752.14 = 1,659.05 : x
  2. Step 2: Convert to fraction form
    5,169.69/7,752.14 = 1,659.05/x
  3. Step 3: Cross multiply
    5,169.69x = 7,752.14 × 1,659.05
  4. Step 4: Simplify right side
    5,169.69x = 12,861,140.81
  5. Step 5: Solve for x
    x = 12,861,140.81/5,169.69
  6. Step 6: Final answer
    x = 2,487.80

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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.