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Finding the Fourth Proportional to 39,855.92, 59,783.24 and 13,578.96

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Solution

The fourth proportional to 39,855.92, 59,783.24 and 13,578.96 is: 20,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,855.92 : 59,783.24 = 13,578.96 : x
  2. Step 2: Convert to fraction form
    39,855.92/59,783.24 = 13,578.96/x
  3. Step 3: Cross multiply
    39,855.92x = 59,783.24 × 13,578.96
  4. Step 4: Simplify right side
    39,855.92x = 811,794,224.63
  5. Step 5: Solve for x
    x = 811,794,224.63/39,855.92
  6. Step 6: Final answer
    x = 20,368.22

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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.