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Finding the Fourth Proportional to 1,731.03, 2,392.23 and 1,311.09

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Solution

The fourth proportional to 1,731.03, 2,392.23 and 1,311.09 is: 1,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.03 : 2,392.23 = 1,311.09 : x
  2. Step 2: Convert to fraction form
    1,731.03/2,392.23 = 1,311.09/x
  3. Step 3: Cross multiply
    1,731.03x = 2,392.23 × 1,311.09
  4. Step 4: Simplify right side
    1,731.03x = 3,136,428.83
  5. Step 5: Solve for x
    x = 3,136,428.83/1,731.03
  6. Step 6: Final answer
    x = 1,811.89

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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.