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Finding the Fourth Proportional to 31,228.92, 46,843.44 and 7,855.20

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Solution

The fourth proportional to 31,228.92, 46,843.44 and 7,855.20 is: 11,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.92 : 46,843.44 = 7,855.20 : x
  2. Step 2: Convert to fraction form
    31,228.92/46,843.44 = 7,855.20/x
  3. Step 3: Cross multiply
    31,228.92x = 46,843.44 × 7,855.20
  4. Step 4: Simplify right side
    31,228.92x = 367,964,589.89
  5. Step 5: Solve for x
    x = 367,964,589.89/31,228.92
  6. Step 6: Final answer
    x = 11,782.82

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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.