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Finding the Fourth Proportional to 3,137.95, 4,328.57 and 1,956.97

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Solution

The fourth proportional to 3,137.95, 4,328.57 and 1,956.97 is: 2,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.95 : 4,328.57 = 1,956.97 : x
  2. Step 2: Convert to fraction form
    3,137.95/4,328.57 = 1,956.97/x
  3. Step 3: Cross multiply
    3,137.95x = 4,328.57 × 1,956.97
  4. Step 4: Simplify right side
    3,137.95x = 8,470,850.21
  5. Step 5: Solve for x
    x = 8,470,850.21/3,137.95
  6. Step 6: Final answer
    x = 2,699.49

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1.5x scale

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.