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Finding the Fourth Proportional to 1,721.84, 2,578.65 and 940.67

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Solution

The fourth proportional to 1,721.84, 2,578.65 and 940.67 is: 1,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.84 : 2,578.65 = 940.67 : x
  2. Step 2: Convert to fraction form
    1,721.84/2,578.65 = 940.67/x
  3. Step 3: Cross multiply
    1,721.84x = 2,578.65 × 940.67
  4. Step 4: Simplify right side
    1,721.84x = 2,425,658.70
  5. Step 5: Solve for x
    x = 2,425,658.70/1,721.84
  6. Step 6: Final answer
    x = 1,408.76

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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.