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Finding the Fourth Proportional to 21,164.57, 31,724.47 and 7,829.00

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Solution

The fourth proportional to 21,164.57, 31,724.47 and 7,829.00 is: 11,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.57 : 31,724.47 = 7,829.00 : x
  2. Step 2: Convert to fraction form
    21,164.57/31,724.47 = 7,829.00/x
  3. Step 3: Cross multiply
    21,164.57x = 31,724.47 × 7,829.00
  4. Step 4: Simplify right side
    21,164.57x = 248,370,697.44
  5. Step 5: Solve for x
    x = 248,370,697.44/21,164.57
  6. Step 6: Final answer
    x = 11,735.21

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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.