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Finding the Fourth Proportional to 5,124, 7,686 and 1,661.25

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Solution

The fourth proportional to 5,124, 7,686 and 1,661.25 is: 2,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124 : 7,686 = 1,661.25 : x
  2. Step 2: Convert to fraction form
    5,124/7,686 = 1,661.25/x
  3. Step 3: Cross multiply
    5,124x = 7,686 × 1,661.25
  4. Step 4: Simplify right side
    5,124x = 12,768,367.50
  5. Step 5: Solve for x
    x = 12,768,367.50/5,124
  6. Step 6: Final answer
    x = 2,491.88

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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.