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Finding the Fourth Proportional to 6,980.20, 9,633 and 3,995.26

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Solution

The fourth proportional to 6,980.20, 9,633 and 3,995.26 is: 5,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.20 : 9,633 = 3,995.26 : x
  2. Step 2: Convert to fraction form
    6,980.20/9,633 = 3,995.26/x
  3. Step 3: Cross multiply
    6,980.20x = 9,633 × 3,995.26
  4. Step 4: Simplify right side
    6,980.20x = 38,486,339.58
  5. Step 5: Solve for x
    x = 38,486,339.58/6,980.20
  6. Step 6: Final answer
    x = 5,513.64

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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.