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Finding the Fourth Proportional to 6,949.92, 9,590.94 and 3,806.40

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Solution

The fourth proportional to 6,949.92, 9,590.94 and 3,806.40 is: 5,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.92 : 9,590.94 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    6,949.92/9,590.94 = 3,806.40/x
  3. Step 3: Cross multiply
    6,949.92x = 9,590.94 × 3,806.40
  4. Step 4: Simplify right side
    6,949.92x = 36,506,954.02
  5. Step 5: Solve for x
    x = 36,506,954.02/6,949.92
  6. Step 6: Final answer
    x = 5,252.86

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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.