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Finding the Fourth Proportional to 1,722, 2,374.24 and 1,223.88

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Solution

The fourth proportional to 1,722, 2,374.24 and 1,223.88 is: 1,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722 : 2,374.24 = 1,223.88 : x
  2. Step 2: Convert to fraction form
    1,722/2,374.24 = 1,223.88/x
  3. Step 3: Cross multiply
    1,722x = 2,374.24 × 1,223.88
  4. Step 4: Simplify right side
    1,722x = 2,905,784.85
  5. Step 5: Solve for x
    x = 2,905,784.85/1,722
  6. Step 6: Final answer
    x = 1,687.45

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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.