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Finding the Fourth Proportional to 2,138.92, 3,208.98 and 906.50

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Solution

The fourth proportional to 2,138.92, 3,208.98 and 906.50 is: 1,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.92 : 3,208.98 = 906.50 : x
  2. Step 2: Convert to fraction form
    2,138.92/3,208.98 = 906.50/x
  3. Step 3: Cross multiply
    2,138.92x = 3,208.98 × 906.50
  4. Step 4: Simplify right side
    2,138.92x = 2,908,940.37
  5. Step 5: Solve for x
    x = 2,908,940.37/2,138.92
  6. Step 6: Final answer
    x = 1,360.00

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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.