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Finding the Fourth Proportional to 1,411.44, 1,948.10 and 940.16

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Solution

The fourth proportional to 1,411.44, 1,948.10 and 940.16 is: 1,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.44 : 1,948.10 = 940.16 : x
  2. Step 2: Convert to fraction form
    1,411.44/1,948.10 = 940.16/x
  3. Step 3: Cross multiply
    1,411.44x = 1,948.10 × 940.16
  4. Step 4: Simplify right side
    1,411.44x = 1,831,525.70
  5. Step 5: Solve for x
    x = 1,831,525.70/1,411.44
  6. Step 6: Final answer
    x = 1,297.63

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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.