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Finding the Fourth Proportional to 1,728.90, 2,596.98 and 1,468.86

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Solution

The fourth proportional to 1,728.90, 2,596.98 and 1,468.86 is: 2,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.90 : 2,596.98 = 1,468.86 : x
  2. Step 2: Convert to fraction form
    1,728.90/2,596.98 = 1,468.86/x
  3. Step 3: Cross multiply
    1,728.90x = 2,596.98 × 1,468.86
  4. Step 4: Simplify right side
    1,728.90x = 3,814,600.04
  5. Step 5: Solve for x
    x = 3,814,600.04/1,728.90
  6. Step 6: Final answer
    x = 2,206.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.