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Finding the Fourth Proportional to 13,991.64, 19,308.44 and 7,704.02

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Solution

The fourth proportional to 13,991.64, 19,308.44 and 7,704.02 is: 10,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.64 : 19,308.44 = 7,704.02 : x
  2. Step 2: Convert to fraction form
    13,991.64/19,308.44 = 7,704.02/x
  3. Step 3: Cross multiply
    13,991.64x = 19,308.44 × 7,704.02
  4. Step 4: Simplify right side
    13,991.64x = 148,752,607.93
  5. Step 5: Solve for x
    x = 148,752,607.93/13,991.64
  6. Step 6: Final answer
    x = 10,631.53

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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.