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Finding the Fourth Proportional to 1,906.80, 2,628 and 1,464

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Solution

The fourth proportional to 1,906.80, 2,628 and 1,464 is: 2,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.80 : 2,628 = 1,464 : x
  2. Step 2: Convert to fraction form
    1,906.80/2,628 = 1,464/x
  3. Step 3: Cross multiply
    1,906.80x = 2,628 × 1,464
  4. Step 4: Simplify right side
    1,906.80x = 3,847,392
  5. Step 5: Solve for x
    x = 3,847,392/1,906.80
  6. Step 6: Final answer
    x = 2,017.72

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Why These Related Problems?

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