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Finding the Fourth Proportional to 1,763.74, 2,646.24 and 1,071.82

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Solution

The fourth proportional to 1,763.74, 2,646.24 and 1,071.82 is: 1,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.74 : 2,646.24 = 1,071.82 : x
  2. Step 2: Convert to fraction form
    1,763.74/2,646.24 = 1,071.82/x
  3. Step 3: Cross multiply
    1,763.74x = 2,646.24 × 1,071.82
  4. Step 4: Simplify right side
    1,763.74x = 2,836,292.96
  5. Step 5: Solve for x
    x = 2,836,292.96/1,763.74
  6. Step 6: Final answer
    x = 1,608.11

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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.