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Finding the Fourth Proportional to 5,232.57, 7,851.54 and 3,478.79

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Solution

The fourth proportional to 5,232.57, 7,851.54 and 3,478.79 is: 5,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.57 : 7,851.54 = 3,478.79 : x
  2. Step 2: Convert to fraction form
    5,232.57/7,851.54 = 3,478.79/x
  3. Step 3: Cross multiply
    5,232.57x = 7,851.54 × 3,478.79
  4. Step 4: Simplify right side
    5,232.57x = 27,313,819.58
  5. Step 5: Solve for x
    x = 27,313,819.58/5,232.57
  6. Step 6: Final answer
    x = 5,219.96

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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.