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Finding the Fourth Proportional to 3,156.95, 4,711.10 and 2,773.01

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Solution

The fourth proportional to 3,156.95, 4,711.10 and 2,773.01 is: 4,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.95 : 4,711.10 = 2,773.01 : x
  2. Step 2: Convert to fraction form
    3,156.95/4,711.10 = 2,773.01/x
  3. Step 3: Cross multiply
    3,156.95x = 4,711.10 × 2,773.01
  4. Step 4: Simplify right side
    3,156.95x = 13,063,940.92
  5. Step 5: Solve for x
    x = 13,063,940.92/3,156.95
  6. Step 6: Final answer
    x = 4,138.15

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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.