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Finding the Fourth Proportional to 31,313.32, 46,969.98 and 7,939.88

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Solution

The fourth proportional to 31,313.32, 46,969.98 and 7,939.88 is: 11,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.32 : 46,969.98 = 7,939.88 : x
  2. Step 2: Convert to fraction form
    31,313.32/46,969.98 = 7,939.88/x
  3. Step 3: Cross multiply
    31,313.32x = 46,969.98 × 7,939.88
  4. Step 4: Simplify right side
    31,313.32x = 372,936,004.80
  5. Step 5: Solve for x
    x = 372,936,004.80/31,313.32
  6. Step 6: Final answer
    x = 11,909.82

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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.