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Finding the Fourth Proportional to 8,670.42, 11,971.04 and 5,691.32

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Solution

The fourth proportional to 8,670.42, 11,971.04 and 5,691.32 is: 7,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.42 : 11,971.04 = 5,691.32 : x
  2. Step 2: Convert to fraction form
    8,670.42/11,971.04 = 5,691.32/x
  3. Step 3: Cross multiply
    8,670.42x = 11,971.04 × 5,691.32
  4. Step 4: Simplify right side
    8,670.42x = 68,131,019.37
  5. Step 5: Solve for x
    x = 68,131,019.37/8,670.42
  6. Step 6: Final answer
    x = 7,857.87

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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.