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Finding the Fourth Proportional to 5,629.16, 7,765.86 and 3,766.76

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Solution

The fourth proportional to 5,629.16, 7,765.86 and 3,766.76 is: 5,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.16 : 7,765.86 = 3,766.76 : x
  2. Step 2: Convert to fraction form
    5,629.16/7,765.86 = 3,766.76/x
  3. Step 3: Cross multiply
    5,629.16x = 7,765.86 × 3,766.76
  4. Step 4: Simplify right side
    5,629.16x = 29,252,130.81
  5. Step 5: Solve for x
    x = 29,252,130.81/5,629.16
  6. Step 6: Final answer
    x = 5,196.54

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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.