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Finding the Fourth Proportional to 8,657.22, 11,946.24 and 5,119.77

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Solution

The fourth proportional to 8,657.22, 11,946.24 and 5,119.77 is: 7,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.22 : 11,946.24 = 5,119.77 : x
  2. Step 2: Convert to fraction form
    8,657.22/11,946.24 = 5,119.77/x
  3. Step 3: Cross multiply
    8,657.22x = 11,946.24 × 5,119.77
  4. Step 4: Simplify right side
    8,657.22x = 61,162,001.16
  5. Step 5: Solve for x
    x = 61,162,001.16/8,657.22
  6. Step 6: Final answer
    x = 7,064.85

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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.