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Finding the Fourth Proportional to 1,309.87, 1,949.95 and 1,302.94

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Solution

The fourth proportional to 1,309.87, 1,949.95 and 1,302.94 is: 1,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.87 : 1,949.95 = 1,302.94 : x
  2. Step 2: Convert to fraction form
    1,309.87/1,949.95 = 1,302.94/x
  3. Step 3: Cross multiply
    1,309.87x = 1,949.95 × 1,302.94
  4. Step 4: Simplify right side
    1,309.87x = 2,540,653.62
  5. Step 5: Solve for x
    x = 2,540,653.62/1,309.87
  6. Step 6: Final answer
    x = 1,939.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.