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Finding the Fourth Proportional to 1,742.91, 2,408.52 and 1,322.52

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Solution

The fourth proportional to 1,742.91, 2,408.52 and 1,322.52 is: 1,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.91 : 2,408.52 = 1,322.52 : x
  2. Step 2: Convert to fraction form
    1,742.91/2,408.52 = 1,322.52/x
  3. Step 3: Cross multiply
    1,742.91x = 2,408.52 × 1,322.52
  4. Step 4: Simplify right side
    1,742.91x = 3,185,309.26
  5. Step 5: Solve for x
    x = 3,185,309.26/1,742.91
  6. Step 6: Final answer
    x = 1,827.58

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