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Finding the Fourth Proportional to 3,212.70, 4,791.95 and 2,929.74

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Solution

The fourth proportional to 3,212.70, 4,791.95 and 2,929.74 is: 4,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.70 : 4,791.95 = 2,929.74 : x
  2. Step 2: Convert to fraction form
    3,212.70/4,791.95 = 2,929.74/x
  3. Step 3: Cross multiply
    3,212.70x = 4,791.95 × 2,929.74
  4. Step 4: Simplify right side
    3,212.70x = 14,039,152.94
  5. Step 5: Solve for x
    x = 14,039,152.94/3,212.70
  6. Step 6: Final answer
    x = 4,369.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.