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Finding the Fourth Proportional to 1,759.85, 2,651.85 and 1,458.46

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Solution

The fourth proportional to 1,759.85, 2,651.85 and 1,458.46 is: 2,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.85 : 2,651.85 = 1,458.46 : x
  2. Step 2: Convert to fraction form
    1,759.85/2,651.85 = 1,458.46/x
  3. Step 3: Cross multiply
    1,759.85x = 2,651.85 × 1,458.46
  4. Step 4: Simplify right side
    1,759.85x = 3,867,617.15
  5. Step 5: Solve for x
    x = 3,867,617.15/1,759.85
  6. Step 6: Final answer
    x = 2,197.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.