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Finding the Fourth Proportional to 7,928.07, 11,873.21 and 4,756.65

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Solution

The fourth proportional to 7,928.07, 11,873.21 and 4,756.65 is: 7,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.07 : 11,873.21 = 4,756.65 : x
  2. Step 2: Convert to fraction form
    7,928.07/11,873.21 = 4,756.65/x
  3. Step 3: Cross multiply
    7,928.07x = 11,873.21 × 4,756.65
  4. Step 4: Simplify right side
    7,928.07x = 56,476,680.56
  5. Step 5: Solve for x
    x = 56,476,680.56/7,928.07
  6. Step 6: Final answer
    x = 7,123.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.