Home / 6,971.40-9,620.64-3,828.06

Finding the Fourth Proportional to 6,971.40, 9,620.64 and 3,828.06

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Solution

The fourth proportional to 6,971.40, 9,620.64 and 3,828.06 is: 5,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.40 : 9,620.64 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    6,971.40/9,620.64 = 3,828.06/x
  3. Step 3: Cross multiply
    6,971.40x = 9,620.64 × 3,828.06
  4. Step 4: Simplify right side
    6,971.40x = 36,828,387.16
  5. Step 5: Solve for x
    x = 36,828,387.16/6,971.40
  6. Step 6: Final answer
    x = 5,282.78

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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.