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Finding the Fourth Proportional to 1,728.14, 2,594.63 and 1,649.76

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Solution

The fourth proportional to 1,728.14, 2,594.63 and 1,649.76 is: 2,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.14 : 2,594.63 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    1,728.14/2,594.63 = 1,649.76/x
  3. Step 3: Cross multiply
    1,728.14x = 2,594.63 × 1,649.76
  4. Step 4: Simplify right side
    1,728.14x = 4,280,508.54
  5. Step 5: Solve for x
    x = 4,280,508.54/1,728.14
  6. Step 6: Final answer
    x = 2,476.95

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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.