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Finding the Fourth Proportional to 15,782.87, 23,651.75 and 11,589.99

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Solution

The fourth proportional to 15,782.87, 23,651.75 and 11,589.99 is: 17,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.87 : 23,651.75 = 11,589.99 : x
  2. Step 2: Convert to fraction form
    15,782.87/23,651.75 = 11,589.99/x
  3. Step 3: Cross multiply
    15,782.87x = 23,651.75 × 11,589.99
  4. Step 4: Simplify right side
    15,782.87x = 274,123,427.72
  5. Step 5: Solve for x
    x = 274,123,427.72/15,782.87
  6. Step 6: Final answer
    x = 17,368.41

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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.