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Finding the Fourth Proportional to 2,137, 2,949.78 and 1,309

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Solution

The fourth proportional to 2,137, 2,949.78 and 1,309 is: 1,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 2,949.78 = 1,309 : x
  2. Step 2: Convert to fraction form
    2,137/2,949.78 = 1,309/x
  3. Step 3: Cross multiply
    2,137x = 2,949.78 × 1,309
  4. Step 4: Simplify right side
    2,137x = 3,861,262.02
  5. Step 5: Solve for x
    x = 3,861,262.02/2,137
  6. Step 6: Final answer
    x = 1,806.86

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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.