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Finding the Fourth Proportional to 6,821.22, 9,412.63 and 4,171.31

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Solution

The fourth proportional to 6,821.22, 9,412.63 and 4,171.31 is: 5,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.22 : 9,412.63 = 4,171.31 : x
  2. Step 2: Convert to fraction form
    6,821.22/9,412.63 = 4,171.31/x
  3. Step 3: Cross multiply
    6,821.22x = 9,412.63 × 4,171.31
  4. Step 4: Simplify right side
    6,821.22x = 39,262,940.15
  5. Step 5: Solve for x
    x = 39,262,940.15/6,821.22
  6. Step 6: Final answer
    x = 5,756.00

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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.