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Finding the Fourth Proportional to 4,978.53, 7,467.44 and 1,857.33

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Solution

The fourth proportional to 4,978.53, 7,467.44 and 1,857.33 is: 2,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.53 : 7,467.44 = 1,857.33 : x
  2. Step 2: Convert to fraction form
    4,978.53/7,467.44 = 1,857.33/x
  3. Step 3: Cross multiply
    4,978.53x = 7,467.44 × 1,857.33
  4. Step 4: Simplify right side
    4,978.53x = 13,869,491.05
  5. Step 5: Solve for x
    x = 13,869,491.05/4,978.53
  6. Step 6: Final answer
    x = 2,785.86

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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.