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Finding the Fourth Proportional to 1,747.56, 2,620.50 and 926.22

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Solution

The fourth proportional to 1,747.56, 2,620.50 and 926.22 is: 1,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.56 : 2,620.50 = 926.22 : x
  2. Step 2: Convert to fraction form
    1,747.56/2,620.50 = 926.22/x
  3. Step 3: Cross multiply
    1,747.56x = 2,620.50 × 926.22
  4. Step 4: Simplify right side
    1,747.56x = 2,427,159.51
  5. Step 5: Solve for x
    x = 2,427,159.51/1,747.56
  6. Step 6: Final answer
    x = 1,388.88

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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.