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Finding the Fourth Proportional to 18,821, 28,231.50 and 4,970

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Solution

The fourth proportional to 18,821, 28,231.50 and 4,970 is: 7,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821 : 28,231.50 = 4,970 : x
  2. Step 2: Convert to fraction form
    18,821/28,231.50 = 4,970/x
  3. Step 3: Cross multiply
    18,821x = 28,231.50 × 4,970
  4. Step 4: Simplify right side
    18,821x = 140,310,555
  5. Step 5: Solve for x
    x = 140,310,555/18,821
  6. Step 6: Final answer
    x = 7,455

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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.