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Finding the Fourth Proportional to 12,405, 18,596.50 and 4,608.34

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Solution

The fourth proportional to 12,405, 18,596.50 and 4,608.34 is: 6,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 18,596.50 = 4,608.34 : x
  2. Step 2: Convert to fraction form
    12,405/18,596.50 = 4,608.34/x
  3. Step 3: Cross multiply
    12,405x = 18,596.50 × 4,608.34
  4. Step 4: Simplify right side
    12,405x = 85,698,994.81
  5. Step 5: Solve for x
    x = 85,698,994.81/12,405
  6. Step 6: Final answer
    x = 6,908.42

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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.