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Finding the Fourth Proportional to 39,788, 59,638.28 and 16,401.68

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Solution

The fourth proportional to 39,788, 59,638.28 and 16,401.68 is: 24,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,788 : 59,638.28 = 16,401.68 : x
  2. Step 2: Convert to fraction form
    39,788/59,638.28 = 16,401.68/x
  3. Step 3: Cross multiply
    39,788x = 59,638.28 × 16,401.68
  4. Step 4: Simplify right side
    39,788x = 978,167,984.31
  5. Step 5: Solve for x
    x = 978,167,984.31/39,788
  6. Step 6: Final answer
    x = 24,584.50

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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.