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Finding the Fourth Proportional to 12,396, 18,597.36 and 3,630.84

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Solution

The fourth proportional to 12,396, 18,597.36 and 3,630.84 is: 5,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396 : 18,597.36 = 3,630.84 : x
  2. Step 2: Convert to fraction form
    12,396/18,597.36 = 3,630.84/x
  3. Step 3: Cross multiply
    12,396x = 18,597.36 × 3,630.84
  4. Step 4: Simplify right side
    12,396x = 67,524,038.58
  5. Step 5: Solve for x
    x = 67,524,038.58/12,396
  6. Step 6: Final answer
    x = 5,447.24

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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.