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Finding the Fourth Proportional to 31,811, 47,718.16 and 9,623.80

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Solution

The fourth proportional to 31,811, 47,718.16 and 9,623.80 is: 14,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811 : 47,718.16 = 9,623.80 : x
  2. Step 2: Convert to fraction form
    31,811/47,718.16 = 9,623.80/x
  3. Step 3: Cross multiply
    31,811x = 47,718.16 × 9,623.80
  4. Step 4: Simplify right side
    31,811x = 459,230,028.21
  5. Step 5: Solve for x
    x = 459,230,028.21/31,811
  6. Step 6: Final answer
    x = 14,436.20

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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.