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Finding the Fourth Proportional to 2,695.41, 3,718.43 and 1,948.19

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Solution

The fourth proportional to 2,695.41, 3,718.43 and 1,948.19 is: 2,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.41 : 3,718.43 = 1,948.19 : x
  2. Step 2: Convert to fraction form
    2,695.41/3,718.43 = 1,948.19/x
  3. Step 3: Cross multiply
    2,695.41x = 3,718.43 × 1,948.19
  4. Step 4: Simplify right side
    2,695.41x = 7,244,179.81
  5. Step 5: Solve for x
    x = 7,244,179.81/2,695.41
  6. Step 6: Final answer
    x = 2,687.60

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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.