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Finding the Fourth Proportional to 6,946.21, 10,421.21 and 3,658.42

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Solution

The fourth proportional to 6,946.21, 10,421.21 and 3,658.42 is: 5,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.21 : 10,421.21 = 3,658.42 : x
  2. Step 2: Convert to fraction form
    6,946.21/10,421.21 = 3,658.42/x
  3. Step 3: Cross multiply
    6,946.21x = 10,421.21 × 3,658.42
  4. Step 4: Simplify right side
    6,946.21x = 38,125,163.09
  5. Step 5: Solve for x
    x = 38,125,163.09/6,946.21
  6. Step 6: Final answer
    x = 5,488.63

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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.