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Finding the Fourth Proportional to 4,200.77, 5,797.82 and 2,432.54

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Solution

The fourth proportional to 4,200.77, 5,797.82 and 2,432.54 is: 3,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.77 : 5,797.82 = 2,432.54 : x
  2. Step 2: Convert to fraction form
    4,200.77/5,797.82 = 2,432.54/x
  3. Step 3: Cross multiply
    4,200.77x = 5,797.82 × 2,432.54
  4. Step 4: Simplify right side
    4,200.77x = 14,103,406.16
  5. Step 5: Solve for x
    x = 14,103,406.16/4,200.77
  6. Step 6: Final answer
    x = 3,357.34

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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.