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Finding the Fourth Proportional to 8,670.86, 11,971.23 and 5,691.02

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Solution

The fourth proportional to 8,670.86, 11,971.23 and 5,691.02 is: 7,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.86 : 11,971.23 = 5,691.02 : x
  2. Step 2: Convert to fraction form
    8,670.86/11,971.23 = 5,691.02/x
  3. Step 3: Cross multiply
    8,670.86x = 11,971.23 × 5,691.02
  4. Step 4: Simplify right side
    8,670.86x = 68,128,509.35
  5. Step 5: Solve for x
    x = 68,128,509.35/8,670.86
  6. Step 6: Final answer
    x = 7,857.18

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