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Finding the Fourth Proportional to 31,485.92, 47,227.25 and 11,762.92

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Solution

The fourth proportional to 31,485.92, 47,227.25 and 11,762.92 is: 17,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.92 : 47,227.25 = 11,762.92 : x
  2. Step 2: Convert to fraction form
    31,485.92/47,227.25 = 11,762.92/x
  3. Step 3: Cross multiply
    31,485.92x = 47,227.25 × 11,762.92
  4. Step 4: Simplify right side
    31,485.92x = 555,530,452.01
  5. Step 5: Solve for x
    x = 555,530,452.01/31,485.92
  6. Step 6: Final answer
    x = 17,643.78

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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.