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Finding the Fourth Proportional to 5,946.76, 8,206.42 and 3,294.11

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Solution

The fourth proportional to 5,946.76, 8,206.42 and 3,294.11 is: 4,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.76 : 8,206.42 = 3,294.11 : x
  2. Step 2: Convert to fraction form
    5,946.76/8,206.42 = 3,294.11/x
  3. Step 3: Cross multiply
    5,946.76x = 8,206.42 × 3,294.11
  4. Step 4: Simplify right side
    5,946.76x = 27,032,850.19
  5. Step 5: Solve for x
    x = 27,032,850.19/5,946.76
  6. Step 6: Final answer
    x = 4,545.81

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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.