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Finding the Fourth Proportional to 3,106.76, 4,660.14 and 2,916.68

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Solution

The fourth proportional to 3,106.76, 4,660.14 and 2,916.68 is: 4,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.76 : 4,660.14 = 2,916.68 : x
  2. Step 2: Convert to fraction form
    3,106.76/4,660.14 = 2,916.68/x
  3. Step 3: Cross multiply
    3,106.76x = 4,660.14 × 2,916.68
  4. Step 4: Simplify right side
    3,106.76x = 13,592,137.14
  5. Step 5: Solve for x
    x = 13,592,137.14/3,106.76
  6. Step 6: Final answer
    x = 4,375.02

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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.