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Finding the Fourth Proportional to 5,105.76, 7,048.80 and 4,755.84

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Solution

The fourth proportional to 5,105.76, 7,048.80 and 4,755.84 is: 6,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.76 : 7,048.80 = 4,755.84 : x
  2. Step 2: Convert to fraction form
    5,105.76/7,048.80 = 4,755.84/x
  3. Step 3: Cross multiply
    5,105.76x = 7,048.80 × 4,755.84
  4. Step 4: Simplify right side
    5,105.76x = 33,522,964.99
  5. Step 5: Solve for x
    x = 33,522,964.99/5,105.76
  6. Step 6: Final answer
    x = 6,565.71

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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.