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Finding the Fourth Proportional to 31,782.53, 47,674.09 and 8,090.11

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Solution

The fourth proportional to 31,782.53, 47,674.09 and 8,090.11 is: 12,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.53 : 47,674.09 = 8,090.11 : x
  2. Step 2: Convert to fraction form
    31,782.53/47,674.09 = 8,090.11/x
  3. Step 3: Cross multiply
    31,782.53x = 47,674.09 × 8,090.11
  4. Step 4: Simplify right side
    31,782.53x = 385,688,632.25
  5. Step 5: Solve for x
    x = 385,688,632.25/31,782.53
  6. Step 6: Final answer
    x = 12,135.24

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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.