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Finding the Fourth Proportional to 7,122.91, 10,684.37 and 1,857.91

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Solution

The fourth proportional to 7,122.91, 10,684.37 and 1,857.91 is: 2,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.91 : 10,684.37 = 1,857.91 : x
  2. Step 2: Convert to fraction form
    7,122.91/10,684.37 = 1,857.91/x
  3. Step 3: Cross multiply
    7,122.91x = 10,684.37 × 1,857.91
  4. Step 4: Simplify right side
    7,122.91x = 19,850,624.58
  5. Step 5: Solve for x
    x = 19,850,624.58/7,122.91
  6. Step 6: Final answer
    x = 2,786.87

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1.5x scale

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.