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Finding the Fourth Proportional to 1,857.95, 2,563.71 and 1,195.71

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Solution

The fourth proportional to 1,857.95, 2,563.71 and 1,195.71 is: 1,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.95 : 2,563.71 = 1,195.71 : x
  2. Step 2: Convert to fraction form
    1,857.95/2,563.71 = 1,195.71/x
  3. Step 3: Cross multiply
    1,857.95x = 2,563.71 × 1,195.71
  4. Step 4: Simplify right side
    1,857.95x = 3,065,453.68
  5. Step 5: Solve for x
    x = 3,065,453.68/1,857.95
  6. Step 6: Final answer
    x = 1,649.91

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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.