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Finding the Fourth Proportional to 6,974.79, 9,626.63 and 4,284.78

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Solution

The fourth proportional to 6,974.79, 9,626.63 and 4,284.78 is: 5,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.79 : 9,626.63 = 4,284.78 : x
  2. Step 2: Convert to fraction form
    6,974.79/9,626.63 = 4,284.78/x
  3. Step 3: Cross multiply
    6,974.79x = 9,626.63 × 4,284.78
  4. Step 4: Simplify right side
    6,974.79x = 41,247,970.27
  5. Step 5: Solve for x
    x = 41,247,970.27/6,974.79
  6. Step 6: Final answer
    x = 5,913.87

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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.