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Finding the Fourth Proportional to 3,467.82, 4,785.71 and 1,975.80

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Solution

The fourth proportional to 3,467.82, 4,785.71 and 1,975.80 is: 2,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.82 : 4,785.71 = 1,975.80 : x
  2. Step 2: Convert to fraction form
    3,467.82/4,785.71 = 1,975.80/x
  3. Step 3: Cross multiply
    3,467.82x = 4,785.71 × 1,975.80
  4. Step 4: Simplify right side
    3,467.82x = 9,455,595.94
  5. Step 5: Solve for x
    x = 9,455,595.94/3,467.82
  6. Step 6: Final answer
    x = 2,726.67

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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.