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Finding the Fourth Proportional to 12,199, 18,292.74 and 4,407.64

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Solution

The fourth proportional to 12,199, 18,292.74 and 4,407.64 is: 6,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199 : 18,292.74 = 4,407.64 : x
  2. Step 2: Convert to fraction form
    12,199/18,292.74 = 4,407.64/x
  3. Step 3: Cross multiply
    12,199x = 18,292.74 × 4,407.64
  4. Step 4: Simplify right side
    12,199x = 80,627,812.53
  5. Step 5: Solve for x
    x = 80,627,812.53/12,199
  6. Step 6: Final answer
    x = 6,609.38

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1.5x scale

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.