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Finding the Fourth Proportional to 52,809, 79,213.50 and 15,881.64

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Solution

The fourth proportional to 52,809, 79,213.50 and 15,881.64 is: 23,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809 : 79,213.50 = 15,881.64 : x
  2. Step 2: Convert to fraction form
    52,809/79,213.50 = 15,881.64/x
  3. Step 3: Cross multiply
    52,809x = 79,213.50 × 15,881.64
  4. Step 4: Simplify right side
    52,809x = 1,258,040,290.14
  5. Step 5: Solve for x
    x = 1,258,040,290.14/52,809
  6. Step 6: Final answer
    x = 23,822.46

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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.