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Finding the Fourth Proportional to 31,311.94, 46,968.75 and 7,940.20

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Solution

The fourth proportional to 31,311.94, 46,968.75 and 7,940.20 is: 11,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.94 : 46,968.75 = 7,940.20 : x
  2. Step 2: Convert to fraction form
    31,311.94/46,968.75 = 7,940.20/x
  3. Step 3: Cross multiply
    31,311.94x = 46,968.75 × 7,940.20
  4. Step 4: Simplify right side
    31,311.94x = 372,941,268.75
  5. Step 5: Solve for x
    x = 372,941,268.75/31,311.94
  6. Step 6: Final answer
    x = 11,910.51

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Double scale
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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.