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Finding the Fourth Proportional to 6,718, 10,078.44 and 2,825.68

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Solution

The fourth proportional to 6,718, 10,078.44 and 2,825.68 is: 4,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 10,078.44 = 2,825.68 : x
  2. Step 2: Convert to fraction form
    6,718/10,078.44 = 2,825.68/x
  3. Step 3: Cross multiply
    6,718x = 10,078.44 × 2,825.68
  4. Step 4: Simplify right side
    6,718x = 28,478,446.34
  5. Step 5: Solve for x
    x = 28,478,446.34/6,718
  6. Step 6: Final answer
    x = 4,239.13

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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.