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Finding the Fourth Proportional to 8,697.52, 11,986 and 8,537.57

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Solution

The fourth proportional to 8,697.52, 11,986 and 8,537.57 is: 11,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.52 : 11,986 = 8,537.57 : x
  2. Step 2: Convert to fraction form
    8,697.52/11,986 = 8,537.57/x
  3. Step 3: Cross multiply
    8,697.52x = 11,986 × 8,537.57
  4. Step 4: Simplify right side
    8,697.52x = 102,331,314.02
  5. Step 5: Solve for x
    x = 102,331,314.02/8,697.52
  6. Step 6: Final answer
    x = 11,765.57

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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.