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Finding the Fourth Proportional to 31,855.84, 47,784.24 and 8,485.60

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Solution

The fourth proportional to 31,855.84, 47,784.24 and 8,485.60 is: 12,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.84 : 47,784.24 = 8,485.60 : x
  2. Step 2: Convert to fraction form
    31,855.84/47,784.24 = 8,485.60/x
  3. Step 3: Cross multiply
    31,855.84x = 47,784.24 × 8,485.60
  4. Step 4: Simplify right side
    31,855.84x = 405,477,946.94
  5. Step 5: Solve for x
    x = 405,477,946.94/31,855.84
  6. Step 6: Final answer
    x = 12,728.53

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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.