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Finding the Fourth Proportional to 12,538.17, 18,796.99 and 6,290.64

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Solution

The fourth proportional to 12,538.17, 18,796.99 and 6,290.64 is: 9,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.17 : 18,796.99 = 6,290.64 : x
  2. Step 2: Convert to fraction form
    12,538.17/18,796.99 = 6,290.64/x
  3. Step 3: Cross multiply
    12,538.17x = 18,796.99 × 6,290.64
  4. Step 4: Simplify right side
    12,538.17x = 118,245,097.17
  5. Step 5: Solve for x
    x = 118,245,097.17/12,538.17
  6. Step 6: Final answer
    x = 9,430.81

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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.