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Finding the Fourth Proportional to 6,954.88, 10,425.12 and 5,218.24

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Solution

The fourth proportional to 6,954.88, 10,425.12 and 5,218.24 is: 7,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.88 : 10,425.12 = 5,218.24 : x
  2. Step 2: Convert to fraction form
    6,954.88/10,425.12 = 5,218.24/x
  3. Step 3: Cross multiply
    6,954.88x = 10,425.12 × 5,218.24
  4. Step 4: Simplify right side
    6,954.88x = 54,400,778.19
  5. Step 5: Solve for x
    x = 54,400,778.19/6,954.88
  6. Step 6: Final answer
    x = 7,821.96

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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.