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Finding the Fourth Proportional to 3,200.51, 4,793.81 and 1,553.60

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Solution

The fourth proportional to 3,200.51, 4,793.81 and 1,553.60 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.51 : 4,793.81 = 1,553.60 : x
  2. Step 2: Convert to fraction form
    3,200.51/4,793.81 = 1,553.60/x
  3. Step 3: Cross multiply
    3,200.51x = 4,793.81 × 1,553.60
  4. Step 4: Simplify right side
    3,200.51x = 7,447,631.48
  5. Step 5: Solve for x
    x = 7,447,631.48/3,200.51
  6. Step 6: Final answer
    x = 2,327.02

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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.