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Finding the Fourth Proportional to 6,990.60, 9,647.12 and 3,846.80

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Solution

The fourth proportional to 6,990.60, 9,647.12 and 3,846.80 is: 5,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.60 : 9,647.12 = 3,846.80 : x
  2. Step 2: Convert to fraction form
    6,990.60/9,647.12 = 3,846.80/x
  3. Step 3: Cross multiply
    6,990.60x = 9,647.12 × 3,846.80
  4. Step 4: Simplify right side
    6,990.60x = 37,110,541.22
  5. Step 5: Solve for x
    x = 37,110,541.22/6,990.60
  6. Step 6: Final answer
    x = 5,308.63

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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.