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Finding the Fourth Proportional to 20,449.92, 30,681.36 and 7,302

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Solution

The fourth proportional to 20,449.92, 30,681.36 and 7,302 is: 10,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.92 : 30,681.36 = 7,302 : x
  2. Step 2: Convert to fraction form
    20,449.92/30,681.36 = 7,302/x
  3. Step 3: Cross multiply
    20,449.92x = 30,681.36 × 7,302
  4. Step 4: Simplify right side
    20,449.92x = 224,035,290.72
  5. Step 5: Solve for x
    x = 224,035,290.72/20,449.92
  6. Step 6: Final answer
    x = 10,955.31

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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.