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Finding the Fourth Proportional to 3,156.62, 4,734.95 and 1,693.76

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Solution

The fourth proportional to 3,156.62, 4,734.95 and 1,693.76 is: 2,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.62 : 4,734.95 = 1,693.76 : x
  2. Step 2: Convert to fraction form
    3,156.62/4,734.95 = 1,693.76/x
  3. Step 3: Cross multiply
    3,156.62x = 4,734.95 × 1,693.76
  4. Step 4: Simplify right side
    3,156.62x = 8,019,836.77
  5. Step 5: Solve for x
    x = 8,019,836.77/3,156.62
  6. Step 6: Final answer
    x = 2,540.64

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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.