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Finding the Fourth Proportional to 6,670.12, 9,198.78 and 4,309.78

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Solution

The fourth proportional to 6,670.12, 9,198.78 and 4,309.78 is: 5,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.12 : 9,198.78 = 4,309.78 : x
  2. Step 2: Convert to fraction form
    6,670.12/9,198.78 = 4,309.78/x
  3. Step 3: Cross multiply
    6,670.12x = 9,198.78 × 4,309.78
  4. Step 4: Simplify right side
    6,670.12x = 39,644,718.07
  5. Step 5: Solve for x
    x = 39,644,718.07/6,670.12
  6. Step 6: Final answer
    x = 5,943.63

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1.5x scale

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.