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Finding the Fourth Proportional to 6,990.69, 9,647.04 and 4,159.44

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Solution

The fourth proportional to 6,990.69, 9,647.04 and 4,159.44 is: 5,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.69 : 9,647.04 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    6,990.69/9,647.04 = 4,159.44/x
  3. Step 3: Cross multiply
    6,990.69x = 9,647.04 × 4,159.44
  4. Step 4: Simplify right side
    6,990.69x = 40,126,284.06
  5. Step 5: Solve for x
    x = 40,126,284.06/6,990.69
  6. Step 6: Final answer
    x = 5,739.96

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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.