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Finding the Fourth Proportional to 7,798.41, 11,705.72 and 4,517.91

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Solution

The fourth proportional to 7,798.41, 11,705.72 and 4,517.91 is: 6,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.41 : 11,705.72 = 4,517.91 : x
  2. Step 2: Convert to fraction form
    7,798.41/11,705.72 = 4,517.91/x
  3. Step 3: Cross multiply
    7,798.41x = 11,705.72 × 4,517.91
  4. Step 4: Simplify right side
    7,798.41x = 52,885,366.86
  5. Step 5: Solve for x
    x = 52,885,366.86/7,798.41
  6. Step 6: Final answer
    x = 6,781.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.