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Finding the Fourth Proportional to 13,842.75, 20,767.42 and 4,482.78

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Solution

The fourth proportional to 13,842.75, 20,767.42 and 4,482.78 is: 6,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.75 : 20,767.42 = 4,482.78 : x
  2. Step 2: Convert to fraction form
    13,842.75/20,767.42 = 4,482.78/x
  3. Step 3: Cross multiply
    13,842.75x = 20,767.42 × 4,482.78
  4. Step 4: Simplify right side
    13,842.75x = 93,095,775.03
  5. Step 5: Solve for x
    x = 93,095,775.03/13,842.75
  6. Step 6: Final answer
    x = 6,725.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.