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Finding the Fourth Proportional to 3,116.64, 4,295 and 2,230.88

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Solution

The fourth proportional to 3,116.64, 4,295 and 2,230.88 is: 3,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.64 : 4,295 = 2,230.88 : x
  2. Step 2: Convert to fraction form
    3,116.64/4,295 = 2,230.88/x
  3. Step 3: Cross multiply
    3,116.64x = 4,295 × 2,230.88
  4. Step 4: Simplify right side
    3,116.64x = 9,581,629.60
  5. Step 5: Solve for x
    x = 9,581,629.60/3,116.64
  6. Step 6: Final answer
    x = 3,074.35

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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.