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Finding the Fourth Proportional to 4,151.76, 5,729.52 and 2,288.76

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Solution

The fourth proportional to 4,151.76, 5,729.52 and 2,288.76 is: 3,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.76 : 5,729.52 = 2,288.76 : x
  2. Step 2: Convert to fraction form
    4,151.76/5,729.52 = 2,288.76/x
  3. Step 3: Cross multiply
    4,151.76x = 5,729.52 × 2,288.76
  4. Step 4: Simplify right side
    4,151.76x = 13,113,496.20
  5. Step 5: Solve for x
    x = 13,113,496.20/4,151.76
  6. Step 6: Final answer
    x = 3,158.54

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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.