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Finding the Fourth Proportional to 1,763.10, 2,660.51 and 1,698.78

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Solution

The fourth proportional to 1,763.10, 2,660.51 and 1,698.78 is: 2,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.10 : 2,660.51 = 1,698.78 : x
  2. Step 2: Convert to fraction form
    1,763.10/2,660.51 = 1,698.78/x
  3. Step 3: Cross multiply
    1,763.10x = 2,660.51 × 1,698.78
  4. Step 4: Simplify right side
    1,763.10x = 4,519,612.68
  5. Step 5: Solve for x
    x = 4,519,612.68/1,763.10
  6. Step 6: Final answer
    x = 2,563.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.