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Finding the Fourth Proportional to 1,382.44, 1,892.81 and 1,377.58

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Solution

The fourth proportional to 1,382.44, 1,892.81 and 1,377.58 is: 1,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.44 : 1,892.81 = 1,377.58 : x
  2. Step 2: Convert to fraction form
    1,382.44/1,892.81 = 1,377.58/x
  3. Step 3: Cross multiply
    1,382.44x = 1,892.81 × 1,377.58
  4. Step 4: Simplify right side
    1,382.44x = 2,607,497.20
  5. Step 5: Solve for x
    x = 2,607,497.20/1,382.44
  6. Step 6: Final answer
    x = 1,886.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.