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Finding the Fourth Proportional to 31,238.88, 46,858.28 and 7,865.32

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Solution

The fourth proportional to 31,238.88, 46,858.28 and 7,865.32 is: 11,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.88 : 46,858.28 = 7,865.32 : x
  2. Step 2: Convert to fraction form
    31,238.88/46,858.28 = 7,865.32/x
  3. Step 3: Cross multiply
    31,238.88x = 46,858.28 × 7,865.32
  4. Step 4: Simplify right side
    31,238.88x = 368,555,366.85
  5. Step 5: Solve for x
    x = 368,555,366.85/31,238.88
  6. Step 6: Final answer
    x = 11,797.97

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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.