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Finding the Fourth Proportional to 39,816, 59,734.80 and 12,114

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Solution

The fourth proportional to 39,816, 59,734.80 and 12,114 is: 18,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816 : 59,734.80 = 12,114 : x
  2. Step 2: Convert to fraction form
    39,816/59,734.80 = 12,114/x
  3. Step 3: Cross multiply
    39,816x = 59,734.80 × 12,114
  4. Step 4: Simplify right side
    39,816x = 723,627,367.20
  5. Step 5: Solve for x
    x = 723,627,367.20/39,816
  6. Step 6: Final answer
    x = 18,174.29

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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.