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Finding the Fourth Proportional to 7,224.12, 9,972.48 and 4,837.86

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Solution

The fourth proportional to 7,224.12, 9,972.48 and 4,837.86 is: 6,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.12 : 9,972.48 = 4,837.86 : x
  2. Step 2: Convert to fraction form
    7,224.12/9,972.48 = 4,837.86/x
  3. Step 3: Cross multiply
    7,224.12x = 9,972.48 × 4,837.86
  4. Step 4: Simplify right side
    7,224.12x = 48,245,462.09
  5. Step 5: Solve for x
    x = 48,245,462.09/7,224.12
  6. Step 6: Final answer
    x = 6,678.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.