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Finding the Fourth Proportional to 13,958.63, 19,264.53 and 7,991.16

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Solution

The fourth proportional to 13,958.63, 19,264.53 and 7,991.16 is: 11,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.63 : 19,264.53 = 7,991.16 : x
  2. Step 2: Convert to fraction form
    13,958.63/19,264.53 = 7,991.16/x
  3. Step 3: Cross multiply
    13,958.63x = 19,264.53 × 7,991.16
  4. Step 4: Simplify right side
    13,958.63x = 153,945,899.28
  5. Step 5: Solve for x
    x = 153,945,899.28/13,958.63
  6. Step 6: Final answer
    x = 11,028.73

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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.