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Finding the Fourth Proportional to 20,679, 31,018.56 and 6,829.08

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Solution

The fourth proportional to 20,679, 31,018.56 and 6,829.08 is: 10,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679 : 31,018.56 = 6,829.08 : x
  2. Step 2: Convert to fraction form
    20,679/31,018.56 = 6,829.08/x
  3. Step 3: Cross multiply
    20,679x = 31,018.56 × 6,829.08
  4. Step 4: Simplify right side
    20,679x = 211,828,227.72
  5. Step 5: Solve for x
    x = 211,828,227.72/20,679
  6. Step 6: Final answer
    x = 10,243.64

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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.