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Finding the Fourth Proportional to 31,461.64, 47,197.86 and 10,406.68

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Solution

The fourth proportional to 31,461.64, 47,197.86 and 10,406.68 is: 15,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.64 : 47,197.86 = 10,406.68 : x
  2. Step 2: Convert to fraction form
    31,461.64/47,197.86 = 10,406.68/x
  3. Step 3: Cross multiply
    31,461.64x = 47,197.86 × 10,406.68
  4. Step 4: Simplify right side
    31,461.64x = 491,173,025.70
  5. Step 5: Solve for x
    x = 491,173,025.70/31,461.64
  6. Step 6: Final answer
    x = 15,611.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.