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Finding the Fourth Proportional to 3,258.80, 4,888.21 and 793.63

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Solution

The fourth proportional to 3,258.80, 4,888.21 and 793.63 is: 1,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.80 : 4,888.21 = 793.63 : x
  2. Step 2: Convert to fraction form
    3,258.80/4,888.21 = 793.63/x
  3. Step 3: Cross multiply
    3,258.80x = 4,888.21 × 793.63
  4. Step 4: Simplify right side
    3,258.80x = 3,879,430.10
  5. Step 5: Solve for x
    x = 3,879,430.10/3,258.80
  6. Step 6: Final answer
    x = 1,190.45

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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.