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Finding the Fourth Proportional to 20,447.92, 30,678.36 and 7,300

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Solution

The fourth proportional to 20,447.92, 30,678.36 and 7,300 is: 10,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.92 : 30,678.36 = 7,300 : x
  2. Step 2: Convert to fraction form
    20,447.92/30,678.36 = 7,300/x
  3. Step 3: Cross multiply
    20,447.92x = 30,678.36 × 7,300
  4. Step 4: Simplify right side
    20,447.92x = 223,952,028
  5. Step 5: Solve for x
    x = 223,952,028/20,447.92
  6. Step 6: Final answer
    x = 10,952.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.