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Finding the Fourth Proportional to 1,863.81, 2,572.34 and 1,367.82

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Solution

The fourth proportional to 1,863.81, 2,572.34 and 1,367.82 is: 1,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.81 : 2,572.34 = 1,367.82 : x
  2. Step 2: Convert to fraction form
    1,863.81/2,572.34 = 1,367.82/x
  3. Step 3: Cross multiply
    1,863.81x = 2,572.34 × 1,367.82
  4. Step 4: Simplify right side
    1,863.81x = 3,518,491.26
  5. Step 5: Solve for x
    x = 3,518,491.26/1,863.81
  6. Step 6: Final answer
    x = 1,887.80

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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.