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Finding the Fourth Proportional to 13,804.81, 20,698.74 and 6,775.90

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Solution

The fourth proportional to 13,804.81, 20,698.74 and 6,775.90 is: 10,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.81 : 20,698.74 = 6,775.90 : x
  2. Step 2: Convert to fraction form
    13,804.81/20,698.74 = 6,775.90/x
  3. Step 3: Cross multiply
    13,804.81x = 20,698.74 × 6,775.90
  4. Step 4: Simplify right side
    13,804.81x = 140,252,592.37
  5. Step 5: Solve for x
    x = 140,252,592.37/13,804.81
  6. Step 6: Final answer
    x = 10,159.69

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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.