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Finding the Fourth Proportional to 13,842.68, 20,751.68 and 5,075.55

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Solution

The fourth proportional to 13,842.68, 20,751.68 and 5,075.55 is: 7,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.68 : 20,751.68 = 5,075.55 : x
  2. Step 2: Convert to fraction form
    13,842.68/20,751.68 = 5,075.55/x
  3. Step 3: Cross multiply
    13,842.68x = 20,751.68 × 5,075.55
  4. Step 4: Simplify right side
    13,842.68x = 105,326,085.67
  5. Step 5: Solve for x
    x = 105,326,085.67/13,842.68
  6. Step 6: Final answer
    x = 7,608.79

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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.