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Finding the Fourth Proportional to 39,817, 59,736.30 and 12,115

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Solution

The fourth proportional to 39,817, 59,736.30 and 12,115 is: 18,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,817 : 59,736.30 = 12,115 : x
  2. Step 2: Convert to fraction form
    39,817/59,736.30 = 12,115/x
  3. Step 3: Cross multiply
    39,817x = 59,736.30 × 12,115
  4. Step 4: Simplify right side
    39,817x = 723,705,274.50
  5. Step 5: Solve for x
    x = 723,705,274.50/39,817
  6. Step 6: Final answer
    x = 18,175.79

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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.