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Finding the Fourth Proportional to 13,968.62, 19,271.20 and 7,997.07

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Solution

The fourth proportional to 13,968.62, 19,271.20 and 7,997.07 is: 11,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.62 : 19,271.20 = 7,997.07 : x
  2. Step 2: Convert to fraction form
    13,968.62/19,271.20 = 7,997.07/x
  3. Step 3: Cross multiply
    13,968.62x = 19,271.20 × 7,997.07
  4. Step 4: Simplify right side
    13,968.62x = 154,113,135.38
  5. Step 5: Solve for x
    x = 154,113,135.38/13,968.62
  6. Step 6: Final answer
    x = 11,032.81

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Why These Related Problems?

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