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Finding the Fourth Proportional to 1,931.67, 2,666.79 and 1,744.56

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Solution

The fourth proportional to 1,931.67, 2,666.79 and 1,744.56 is: 2,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.67 : 2,666.79 = 1,744.56 : x
  2. Step 2: Convert to fraction form
    1,931.67/2,666.79 = 1,744.56/x
  3. Step 3: Cross multiply
    1,931.67x = 2,666.79 × 1,744.56
  4. Step 4: Simplify right side
    1,931.67x = 4,652,375.16
  5. Step 5: Solve for x
    x = 4,652,375.16/1,931.67
  6. Step 6: Final answer
    x = 2,408.47

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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.