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Finding the Fourth Proportional to 1,729.95, 2,582.38 and 1,601.47

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Solution

The fourth proportional to 1,729.95, 2,582.38 and 1,601.47 is: 2,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.95 : 2,582.38 = 1,601.47 : x
  2. Step 2: Convert to fraction form
    1,729.95/2,582.38 = 1,601.47/x
  3. Step 3: Cross multiply
    1,729.95x = 2,582.38 × 1,601.47
  4. Step 4: Simplify right side
    1,729.95x = 4,135,604.10
  5. Step 5: Solve for x
    x = 4,135,604.10/1,729.95
  6. Step 6: Final answer
    x = 2,390.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.