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Finding the Fourth Proportional to 1,392.07, 2,078.83 and 1,311.07

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Solution

The fourth proportional to 1,392.07, 2,078.83 and 1,311.07 is: 1,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.07 : 2,078.83 = 1,311.07 : x
  2. Step 2: Convert to fraction form
    1,392.07/2,078.83 = 1,311.07/x
  3. Step 3: Cross multiply
    1,392.07x = 2,078.83 × 1,311.07
  4. Step 4: Simplify right side
    1,392.07x = 2,725,491.65
  5. Step 5: Solve for x
    x = 2,725,491.65/1,392.07
  6. Step 6: Final answer
    x = 1,957.87

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1.5x scale

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.