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Finding the Fourth Proportional to 52,806, 79,209 and 15,878.64

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Solution

The fourth proportional to 52,806, 79,209 and 15,878.64 is: 23,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806 : 79,209 = 15,878.64 : x
  2. Step 2: Convert to fraction form
    52,806/79,209 = 15,878.64/x
  3. Step 3: Cross multiply
    52,806x = 79,209 × 15,878.64
  4. Step 4: Simplify right side
    52,806x = 1,257,731,195.76
  5. Step 5: Solve for x
    x = 1,257,731,195.76/52,806
  6. Step 6: Final answer
    x = 23,817.96

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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.