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Finding the Fourth Proportional to 1,711.71, 2,361.21 and 1,180.53

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Solution

The fourth proportional to 1,711.71, 2,361.21 and 1,180.53 is: 1,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.71 : 2,361.21 = 1,180.53 : x
  2. Step 2: Convert to fraction form
    1,711.71/2,361.21 = 1,180.53/x
  3. Step 3: Cross multiply
    1,711.71x = 2,361.21 × 1,180.53
  4. Step 4: Simplify right side
    1,711.71x = 2,787,479.24
  5. Step 5: Solve for x
    x = 2,787,479.24/1,711.71
  6. Step 6: Final answer
    x = 1,628.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.