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Finding the Fourth Proportional to 13,778.51, 20,651.36 and 7,923.02

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Solution

The fourth proportional to 13,778.51, 20,651.36 and 7,923.02 is: 11,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.51 : 20,651.36 = 7,923.02 : x
  2. Step 2: Convert to fraction form
    13,778.51/20,651.36 = 7,923.02/x
  3. Step 3: Cross multiply
    13,778.51x = 20,651.36 × 7,923.02
  4. Step 4: Simplify right side
    13,778.51x = 163,620,995.44
  5. Step 5: Solve for x
    x = 163,620,995.44/13,778.51
  6. Step 6: Final answer
    x = 11,875.09

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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.