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Finding the Fourth Proportional to 4,614.75, 6,922.06 and 2,148.19

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Solution

The fourth proportional to 4,614.75, 6,922.06 and 2,148.19 is: 3,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.75 : 6,922.06 = 2,148.19 : x
  2. Step 2: Convert to fraction form
    4,614.75/6,922.06 = 2,148.19/x
  3. Step 3: Cross multiply
    4,614.75x = 6,922.06 × 2,148.19
  4. Step 4: Simplify right side
    4,614.75x = 14,869,900.07
  5. Step 5: Solve for x
    x = 14,869,900.07/4,614.75
  6. Step 6: Final answer
    x = 3,222.25

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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.