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Finding the Fourth Proportional to 18,822, 28,234.62 and 4,971

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Solution

The fourth proportional to 18,822, 28,234.62 and 4,971 is: 7,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822 : 28,234.62 = 4,971 : x
  2. Step 2: Convert to fraction form
    18,822/28,234.62 = 4,971/x
  3. Step 3: Cross multiply
    18,822x = 28,234.62 × 4,971
  4. Step 4: Simplify right side
    18,822x = 140,354,296.02
  5. Step 5: Solve for x
    x = 140,354,296.02/18,822
  6. Step 6: Final answer
    x = 7,456.93

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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.