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Finding the Fourth Proportional to 8,682.86, 11,980.50 and 5,147.22

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Solution

The fourth proportional to 8,682.86, 11,980.50 and 5,147.22 is: 7,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.86 : 11,980.50 = 5,147.22 : x
  2. Step 2: Convert to fraction form
    8,682.86/11,980.50 = 5,147.22/x
  3. Step 3: Cross multiply
    8,682.86x = 11,980.50 × 5,147.22
  4. Step 4: Simplify right side
    8,682.86x = 61,666,269.21
  5. Step 5: Solve for x
    x = 61,666,269.21/8,682.86
  6. Step 6: Final answer
    x = 7,102.07

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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.