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Finding the Fourth Proportional to 31,846.60, 47,782.20 and 9,660.16

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Solution

The fourth proportional to 31,846.60, 47,782.20 and 9,660.16 is: 14,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.60 : 47,782.20 = 9,660.16 : x
  2. Step 2: Convert to fraction form
    31,846.60/47,782.20 = 9,660.16/x
  3. Step 3: Cross multiply
    31,846.60x = 47,782.20 × 9,660.16
  4. Step 4: Simplify right side
    31,846.60x = 461,583,697.15
  5. Step 5: Solve for x
    x = 461,583,697.15/31,846.60
  6. Step 6: Final answer
    x = 14,493.97

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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.