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Finding the Fourth Proportional to 1,863.71, 2,571.90 and 1,077.74

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Solution

The fourth proportional to 1,863.71, 2,571.90 and 1,077.74 is: 1,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.71 : 2,571.90 = 1,077.74 : x
  2. Step 2: Convert to fraction form
    1,863.71/2,571.90 = 1,077.74/x
  3. Step 3: Cross multiply
    1,863.71x = 2,571.90 × 1,077.74
  4. Step 4: Simplify right side
    1,863.71x = 2,771,839.51
  5. Step 5: Solve for x
    x = 2,771,839.51/1,863.71
  6. Step 6: Final answer
    x = 1,487.27

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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.