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Finding the Fourth Proportional to 13,285, 19,927.50 and 4,519.72

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Solution

The fourth proportional to 13,285, 19,927.50 and 4,519.72 is: 6,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285 : 19,927.50 = 4,519.72 : x
  2. Step 2: Convert to fraction form
    13,285/19,927.50 = 4,519.72/x
  3. Step 3: Cross multiply
    13,285x = 19,927.50 × 4,519.72
  4. Step 4: Simplify right side
    13,285x = 90,066,720.30
  5. Step 5: Solve for x
    x = 90,066,720.30/13,285
  6. Step 6: Final answer
    x = 6,779.58

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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.