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Finding the Fourth Proportional to 11,751.57, 17,627.45 and 2,986.47

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Solution

The fourth proportional to 11,751.57, 17,627.45 and 2,986.47 is: 4,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.57 : 17,627.45 = 2,986.47 : x
  2. Step 2: Convert to fraction form
    11,751.57/17,627.45 = 2,986.47/x
  3. Step 3: Cross multiply
    11,751.57x = 17,627.45 × 2,986.47
  4. Step 4: Simplify right side
    11,751.57x = 52,643,835.67
  5. Step 5: Solve for x
    x = 52,643,835.67/11,751.57
  6. Step 6: Final answer
    x = 4,479.73

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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.