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Finding the Fourth Proportional to 3,579.92, 4,929.29 and 3,106.98

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Solution

The fourth proportional to 3,579.92, 4,929.29 and 3,106.98 is: 4,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.92 : 4,929.29 = 3,106.98 : x
  2. Step 2: Convert to fraction form
    3,579.92/4,929.29 = 3,106.98/x
  3. Step 3: Cross multiply
    3,579.92x = 4,929.29 × 3,106.98
  4. Step 4: Simplify right side
    3,579.92x = 15,315,228.53
  5. Step 5: Solve for x
    x = 15,315,228.53/3,579.92
  6. Step 6: Final answer
    x = 4,278.09

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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.