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Finding the Fourth Proportional to 31,611.94, 47,420.64 and 8,238.38

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Solution

The fourth proportional to 31,611.94, 47,420.64 and 8,238.38 is: 12,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.94 : 47,420.64 = 8,238.38 : x
  2. Step 2: Convert to fraction form
    31,611.94/47,420.64 = 8,238.38/x
  3. Step 3: Cross multiply
    31,611.94x = 47,420.64 × 8,238.38
  4. Step 4: Simplify right side
    31,611.94x = 390,669,015.06
  5. Step 5: Solve for x
    x = 390,669,015.06/31,611.94
  6. Step 6: Final answer
    x = 12,358.27

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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.