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Finding the Fourth Proportional to 13,842.43, 20,751.30 and 5,075.30

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Solution

The fourth proportional to 13,842.43, 20,751.30 and 5,075.30 is: 7,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.43 : 20,751.30 = 5,075.30 : x
  2. Step 2: Convert to fraction form
    13,842.43/20,751.30 = 5,075.30/x
  3. Step 3: Cross multiply
    13,842.43x = 20,751.30 × 5,075.30
  4. Step 4: Simplify right side
    13,842.43x = 105,319,072.89
  5. Step 5: Solve for x
    x = 105,319,072.89/13,842.43
  6. Step 6: Final answer
    x = 7,608.42

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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.