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Finding the Fourth Proportional to 2,305.92, 3,181.20 and 1,607.70

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Solution

The fourth proportional to 2,305.92, 3,181.20 and 1,607.70 is: 2,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,181.20 = 1,607.70 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,181.20 = 1,607.70/x
  3. Step 3: Cross multiply
    2,305.92x = 3,181.20 × 1,607.70
  4. Step 4: Simplify right side
    2,305.92x = 5,114,415.24
  5. Step 5: Solve for x
    x = 5,114,415.24/2,305.92
  6. Step 6: Final answer
    x = 2,217.95

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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.