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Finding the Fourth Proportional to 15,782.45, 23,674.94 and 5,252.09

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Solution

The fourth proportional to 15,782.45, 23,674.94 and 5,252.09 is: 7,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.45 : 23,674.94 = 5,252.09 : x
  2. Step 2: Convert to fraction form
    15,782.45/23,674.94 = 5,252.09/x
  3. Step 3: Cross multiply
    15,782.45x = 23,674.94 × 5,252.09
  4. Step 4: Simplify right side
    15,782.45x = 124,342,770.99
  5. Step 5: Solve for x
    x = 124,342,770.99/15,782.45
  6. Step 6: Final answer
    x = 7,878.55

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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.