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Finding the Fourth Proportional to 31,197.80, 46,723.80 and 30,571.40

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Solution

The fourth proportional to 31,197.80, 46,723.80 and 30,571.40 is: 45,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.80 : 46,723.80 = 30,571.40 : x
  2. Step 2: Convert to fraction form
    31,197.80/46,723.80 = 30,571.40/x
  3. Step 3: Cross multiply
    31,197.80x = 46,723.80 × 30,571.40
  4. Step 4: Simplify right side
    31,197.80x = 1,428,411,979.32
  5. Step 5: Solve for x
    x = 1,428,411,979.32/31,197.80
  6. Step 6: Final answer
    x = 45,785.66

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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.