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Finding the Fourth Proportional to 4,076.96, 5,627.21 and 2,309.60

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Solution

The fourth proportional to 4,076.96, 5,627.21 and 2,309.60 is: 3,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.96 : 5,627.21 = 2,309.60 : x
  2. Step 2: Convert to fraction form
    4,076.96/5,627.21 = 2,309.60/x
  3. Step 3: Cross multiply
    4,076.96x = 5,627.21 × 2,309.60
  4. Step 4: Simplify right side
    4,076.96x = 12,996,606.74
  5. Step 5: Solve for x
    x = 12,996,606.74/4,076.96
  6. Step 6: Final answer
    x = 3,187.82

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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.