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Finding the Fourth Proportional to 7,751.62, 10,725.40 and 6,758.98

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Solution

The fourth proportional to 7,751.62, 10,725.40 and 6,758.98 is: 9,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.62 : 10,725.40 = 6,758.98 : x
  2. Step 2: Convert to fraction form
    7,751.62/10,725.40 = 6,758.98/x
  3. Step 3: Cross multiply
    7,751.62x = 10,725.40 × 6,758.98
  4. Step 4: Simplify right side
    7,751.62x = 72,492,764.09
  5. Step 5: Solve for x
    x = 72,492,764.09/7,751.62
  6. Step 6: Final answer
    x = 9,351.95

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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.