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Finding the Fourth Proportional to 1,990.87, 2,746.58 and 1,282.59

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Solution

The fourth proportional to 1,990.87, 2,746.58 and 1,282.59 is: 1,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.87 : 2,746.58 = 1,282.59 : x
  2. Step 2: Convert to fraction form
    1,990.87/2,746.58 = 1,282.59/x
  3. Step 3: Cross multiply
    1,990.87x = 2,746.58 × 1,282.59
  4. Step 4: Simplify right side
    1,990.87x = 3,522,736.04
  5. Step 5: Solve for x
    x = 3,522,736.04/1,990.87
  6. Step 6: Final answer
    x = 1,769.45

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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.