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Finding the Fourth Proportional to 8,686.91, 11,975.37 and 5,697.56

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Solution

The fourth proportional to 8,686.91, 11,975.37 and 5,697.56 is: 7,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.91 : 11,975.37 = 5,697.56 : x
  2. Step 2: Convert to fraction form
    8,686.91/11,975.37 = 5,697.56/x
  3. Step 3: Cross multiply
    8,686.91x = 11,975.37 × 5,697.56
  4. Step 4: Simplify right side
    8,686.91x = 68,230,329.22
  5. Step 5: Solve for x
    x = 68,230,329.22/8,686.91
  6. Step 6: Final answer
    x = 7,854.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.