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Finding the Fourth Proportional to 31,903.92, 47,859.12 and 12,199.05

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Solution

The fourth proportional to 31,903.92, 47,859.12 and 12,199.05 is: 18,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.92 : 47,859.12 = 12,199.05 : x
  2. Step 2: Convert to fraction form
    31,903.92/47,859.12 = 12,199.05/x
  3. Step 3: Cross multiply
    31,903.92x = 47,859.12 × 12,199.05
  4. Step 4: Simplify right side
    31,903.92x = 583,835,797.84
  5. Step 5: Solve for x
    x = 583,835,797.84/31,903.92
  6. Step 6: Final answer
    x = 18,299.81

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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.