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Finding the Fourth Proportional to 6,642.78, 9,971.21 and 4,889.80

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Solution

The fourth proportional to 6,642.78, 9,971.21 and 4,889.80 is: 7,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.78 : 9,971.21 = 4,889.80 : x
  2. Step 2: Convert to fraction form
    6,642.78/9,971.21 = 4,889.80/x
  3. Step 3: Cross multiply
    6,642.78x = 9,971.21 × 4,889.80
  4. Step 4: Simplify right side
    6,642.78x = 48,757,222.66
  5. Step 5: Solve for x
    x = 48,757,222.66/6,642.78
  6. Step 6: Final answer
    x = 7,339.88

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1.5x scale

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.