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Finding the Fourth Proportional to 31,313.58, 46,972.02 and 7,940.22

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Solution

The fourth proportional to 31,313.58, 46,972.02 and 7,940.22 is: 11,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.58 : 46,972.02 = 7,940.22 : x
  2. Step 2: Convert to fraction form
    31,313.58/46,972.02 = 7,940.22/x
  3. Step 3: Cross multiply
    31,313.58x = 46,972.02 × 7,940.22
  4. Step 4: Simplify right side
    31,313.58x = 372,968,172.64
  5. Step 5: Solve for x
    x = 372,968,172.64/31,313.58
  6. Step 6: Final answer
    x = 11,910.75

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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.