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Finding the Fourth Proportional to 4,114.84, 6,172.02 and 1,806.40

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Solution

The fourth proportional to 4,114.84, 6,172.02 and 1,806.40 is: 2,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.84 : 6,172.02 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    4,114.84/6,172.02 = 1,806.40/x
  3. Step 3: Cross multiply
    4,114.84x = 6,172.02 × 1,806.40
  4. Step 4: Simplify right side
    4,114.84x = 11,149,136.93
  5. Step 5: Solve for x
    x = 11,149,136.93/4,114.84
  6. Step 6: Final answer
    x = 2,709.49

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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.