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Finding the Fourth Proportional to 1,980.44, 2,726.90 and 1,759

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Solution

The fourth proportional to 1,980.44, 2,726.90 and 1,759 is: 2,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.44 : 2,726.90 = 1,759 : x
  2. Step 2: Convert to fraction form
    1,980.44/2,726.90 = 1,759/x
  3. Step 3: Cross multiply
    1,980.44x = 2,726.90 × 1,759
  4. Step 4: Simplify right side
    1,980.44x = 4,796,617.10
  5. Step 5: Solve for x
    x = 4,796,617.10/1,980.44
  6. Step 6: Final answer
    x = 2,422.00

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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.