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Finding the Fourth Proportional to 20,486.94, 30,730.39 and 7,348.53

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Solution

The fourth proportional to 20,486.94, 30,730.39 and 7,348.53 is: 11,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.94 : 30,730.39 = 7,348.53 : x
  2. Step 2: Convert to fraction form
    20,486.94/30,730.39 = 7,348.53/x
  3. Step 3: Cross multiply
    20,486.94x = 30,730.39 × 7,348.53
  4. Step 4: Simplify right side
    20,486.94x = 225,823,192.83
  5. Step 5: Solve for x
    x = 225,823,192.83/20,486.94
  6. Step 6: Final answer
    x = 11,022.79

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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.