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Finding the Fourth Proportional to 31,653.99, 47,481.44 and 8,280.42

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Solution

The fourth proportional to 31,653.99, 47,481.44 and 8,280.42 is: 12,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.99 : 47,481.44 = 8,280.42 : x
  2. Step 2: Convert to fraction form
    31,653.99/47,481.44 = 8,280.42/x
  3. Step 3: Cross multiply
    31,653.99x = 47,481.44 × 8,280.42
  4. Step 4: Simplify right side
    31,653.99x = 393,166,224.00
  5. Step 5: Solve for x
    x = 393,166,224.00/31,653.99
  6. Step 6: Final answer
    x = 12,420.75

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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.