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Finding the Fourth Proportional to 8,691.96, 11,980.62 and 7,117.32

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Solution

The fourth proportional to 8,691.96, 11,980.62 and 7,117.32 is: 9,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.96 : 11,980.62 = 7,117.32 : x
  2. Step 2: Convert to fraction form
    8,691.96/11,980.62 = 7,117.32/x
  3. Step 3: Cross multiply
    8,691.96x = 11,980.62 × 7,117.32
  4. Step 4: Simplify right side
    8,691.96x = 85,269,906.34
  5. Step 5: Solve for x
    x = 85,269,906.34/8,691.96
  6. Step 6: Final answer
    x = 9,810.20

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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.