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Finding the Fourth Proportional to 31,448, 47,171.99 and 8,074.43

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Solution

The fourth proportional to 31,448, 47,171.99 and 8,074.43 is: 12,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448 : 47,171.99 = 8,074.43 : x
  2. Step 2: Convert to fraction form
    31,448/47,171.99 = 8,074.43/x
  3. Step 3: Cross multiply
    31,448x = 47,171.99 × 8,074.43
  4. Step 4: Simplify right side
    31,448x = 380,886,931.22
  5. Step 5: Solve for x
    x = 380,886,931.22/31,448
  6. Step 6: Final answer
    x = 12,111.64

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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.