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Finding the Fourth Proportional to 7,718, 10,650.84 and 4,181.21

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Solution

The fourth proportional to 7,718, 10,650.84 and 4,181.21 is: 5,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718 : 10,650.84 = 4,181.21 : x
  2. Step 2: Convert to fraction form
    7,718/10,650.84 = 4,181.21/x
  3. Step 3: Cross multiply
    7,718x = 10,650.84 × 4,181.21
  4. Step 4: Simplify right side
    7,718x = 44,533,398.72
  5. Step 5: Solve for x
    x = 44,533,398.72/7,718
  6. Step 6: Final answer
    x = 5,770.07

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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.