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Finding the Fourth Proportional to 8,657.08, 11,945.82 and 5,300.74

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Solution

The fourth proportional to 8,657.08, 11,945.82 and 5,300.74 is: 7,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.08 : 11,945.82 = 5,300.74 : x
  2. Step 2: Convert to fraction form
    8,657.08/11,945.82 = 5,300.74/x
  3. Step 3: Cross multiply
    8,657.08x = 11,945.82 × 5,300.74
  4. Step 4: Simplify right side
    8,657.08x = 63,321,685.91
  5. Step 5: Solve for x
    x = 63,321,685.91/8,657.08
  6. Step 6: Final answer
    x = 7,314.44

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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.