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Finding the Fourth Proportional to 7,018.70, 9,682.38 and 4,184.42

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Solution

The fourth proportional to 7,018.70, 9,682.38 and 4,184.42 is: 5,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.70 : 9,682.38 = 4,184.42 : x
  2. Step 2: Convert to fraction form
    7,018.70/9,682.38 = 4,184.42/x
  3. Step 3: Cross multiply
    7,018.70x = 9,682.38 × 4,184.42
  4. Step 4: Simplify right side
    7,018.70x = 40,515,144.52
  5. Step 5: Solve for x
    x = 40,515,144.52/7,018.70
  6. Step 6: Final answer
    x = 5,772.46

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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.