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Finding the Fourth Proportional to 15,583.44, 21,505.02 and 8,509.86

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Solution

The fourth proportional to 15,583.44, 21,505.02 and 8,509.86 is: 11,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.44 : 21,505.02 = 8,509.86 : x
  2. Step 2: Convert to fraction form
    15,583.44/21,505.02 = 8,509.86/x
  3. Step 3: Cross multiply
    15,583.44x = 21,505.02 × 8,509.86
  4. Step 4: Simplify right side
    15,583.44x = 183,004,709.50
  5. Step 5: Solve for x
    x = 183,004,709.50/15,583.44
  6. Step 6: Final answer
    x = 11,743.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.