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Finding the Fourth Proportional to 6,825.44, 9,420 and 4,030.88

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Solution

The fourth proportional to 6,825.44, 9,420 and 4,030.88 is: 5,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.44 : 9,420 = 4,030.88 : x
  2. Step 2: Convert to fraction form
    6,825.44/9,420 = 4,030.88/x
  3. Step 3: Cross multiply
    6,825.44x = 9,420 × 4,030.88
  4. Step 4: Simplify right side
    6,825.44x = 37,970,889.60
  5. Step 5: Solve for x
    x = 37,970,889.60/6,825.44
  6. Step 6: Final answer
    x = 5,563.14

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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.