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Finding the Fourth Proportional to 39,783.80, 59,676.39 and 13,489.22

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Solution

The fourth proportional to 39,783.80, 59,676.39 and 13,489.22 is: 20,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783.80 : 59,676.39 = 13,489.22 : x
  2. Step 2: Convert to fraction form
    39,783.80/59,676.39 = 13,489.22/x
  3. Step 3: Cross multiply
    39,783.80x = 59,676.39 × 13,489.22
  4. Step 4: Simplify right side
    39,783.80x = 804,988,102.71
  5. Step 5: Solve for x
    x = 804,988,102.71/39,783.80
  6. Step 6: Final answer
    x = 20,234.07

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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.