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Finding the Fourth Proportional to 39,821, 59,735.22 and 11,741.08

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Solution

The fourth proportional to 39,821, 59,735.22 and 11,741.08 is: 17,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821 : 59,735.22 = 11,741.08 : x
  2. Step 2: Convert to fraction form
    39,821/59,735.22 = 11,741.08/x
  3. Step 3: Cross multiply
    39,821x = 59,735.22 × 11,741.08
  4. Step 4: Simplify right side
    39,821x = 701,355,996.84
  5. Step 5: Solve for x
    x = 701,355,996.84/39,821
  6. Step 6: Final answer
    x = 17,612.72

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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.