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Finding the Fourth Proportional to 7,758.89, 11,578.71 and 6,928.47

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Solution

The fourth proportional to 7,758.89, 11,578.71 and 6,928.47 is: 10,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.89 : 11,578.71 = 6,928.47 : x
  2. Step 2: Convert to fraction form
    7,758.89/11,578.71 = 6,928.47/x
  3. Step 3: Cross multiply
    7,758.89x = 11,578.71 × 6,928.47
  4. Step 4: Simplify right side
    7,758.89x = 80,222,770.86
  5. Step 5: Solve for x
    x = 80,222,770.86/7,758.89
  6. Step 6: Final answer
    x = 10,339.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.