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Finding the Fourth Proportional to 6,422.69, 9,634.95 and 1,980.73

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Solution

The fourth proportional to 6,422.69, 9,634.95 and 1,980.73 is: 2,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.69 : 9,634.95 = 1,980.73 : x
  2. Step 2: Convert to fraction form
    6,422.69/9,634.95 = 1,980.73/x
  3. Step 3: Cross multiply
    6,422.69x = 9,634.95 × 1,980.73
  4. Step 4: Simplify right side
    6,422.69x = 19,084,210.43
  5. Step 5: Solve for x
    x = 19,084,210.43/6,422.69
  6. Step 6: Final answer
    x = 2,971.37

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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.