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Finding the Fourth Proportional to 19,883.67, 29,829.15 and 8,190.51

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Solution

The fourth proportional to 19,883.67, 29,829.15 and 8,190.51 is: 12,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.67 : 29,829.15 = 8,190.51 : x
  2. Step 2: Convert to fraction form
    19,883.67/29,829.15 = 8,190.51/x
  3. Step 3: Cross multiply
    19,883.67x = 29,829.15 × 8,190.51
  4. Step 4: Simplify right side
    19,883.67x = 244,315,951.37
  5. Step 5: Solve for x
    x = 244,315,951.37/19,883.67
  6. Step 6: Final answer
    x = 12,287.27

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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.