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Finding the Fourth Proportional to 6,722.87, 9,277.61 and 3,738.74

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Solution

The fourth proportional to 6,722.87, 9,277.61 and 3,738.74 is: 5,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.87 : 9,277.61 = 3,738.74 : x
  2. Step 2: Convert to fraction form
    6,722.87/9,277.61 = 3,738.74/x
  3. Step 3: Cross multiply
    6,722.87x = 9,277.61 × 3,738.74
  4. Step 4: Simplify right side
    6,722.87x = 34,686,506.53
  5. Step 5: Solve for x
    x = 34,686,506.53/6,722.87
  6. Step 6: Final answer
    x = 5,159.48

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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.