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Finding the Fourth Proportional to 1,754.53, 2,420.49 and 1,231.27

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Solution

The fourth proportional to 1,754.53, 2,420.49 and 1,231.27 is: 1,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.53 : 2,420.49 = 1,231.27 : x
  2. Step 2: Convert to fraction form
    1,754.53/2,420.49 = 1,231.27/x
  3. Step 3: Cross multiply
    1,754.53x = 2,420.49 × 1,231.27
  4. Step 4: Simplify right side
    1,754.53x = 2,980,276.72
  5. Step 5: Solve for x
    x = 2,980,276.72/1,754.53
  6. Step 6: Final answer
    x = 1,698.62

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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.