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Finding the Fourth Proportional to 31,228.70, 46,843.07 and 7,855.13

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Solution

The fourth proportional to 31,228.70, 46,843.07 and 7,855.13 is: 11,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.70 : 46,843.07 = 7,855.13 : x
  2. Step 2: Convert to fraction form
    31,228.70/46,843.07 = 7,855.13/x
  3. Step 3: Cross multiply
    31,228.70x = 46,843.07 × 7,855.13
  4. Step 4: Simplify right side
    31,228.70x = 367,958,130.96
  5. Step 5: Solve for x
    x = 367,958,130.96/31,228.70
  6. Step 6: Final answer
    x = 11,782.69

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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.