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Finding the Fourth Proportional to 18,920.78, 28,384.61 and 7,821.44

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Solution

The fourth proportional to 18,920.78, 28,384.61 and 7,821.44 is: 11,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920.78 : 28,384.61 = 7,821.44 : x
  2. Step 2: Convert to fraction form
    18,920.78/28,384.61 = 7,821.44/x
  3. Step 3: Cross multiply
    18,920.78x = 28,384.61 × 7,821.44
  4. Step 4: Simplify right side
    18,920.78x = 222,008,343.01
  5. Step 5: Solve for x
    x = 222,008,343.01/18,920.78
  6. Step 6: Final answer
    x = 11,733.58

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1.5x scale

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.