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Finding the Fourth Proportional to 12,636.79, 18,941.84 and 4,734.14

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Solution

The fourth proportional to 12,636.79, 18,941.84 and 4,734.14 is: 7,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.79 : 18,941.84 = 4,734.14 : x
  2. Step 2: Convert to fraction form
    12,636.79/18,941.84 = 4,734.14/x
  3. Step 3: Cross multiply
    12,636.79x = 18,941.84 × 4,734.14
  4. Step 4: Simplify right side
    12,636.79x = 89,673,322.42
  5. Step 5: Solve for x
    x = 89,673,322.42/12,636.79
  6. Step 6: Final answer
    x = 7,096.21

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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.