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Finding the Fourth Proportional to 4,978.07, 7,464.57 and 2,786.21

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Solution

The fourth proportional to 4,978.07, 7,464.57 and 2,786.21 is: 4,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.07 : 7,464.57 = 2,786.21 : x
  2. Step 2: Convert to fraction form
    4,978.07/7,464.57 = 2,786.21/x
  3. Step 3: Cross multiply
    4,978.07x = 7,464.57 × 2,786.21
  4. Step 4: Simplify right side
    4,978.07x = 20,797,822.26
  5. Step 5: Solve for x
    x = 20,797,822.26/4,978.07
  6. Step 6: Final answer
    x = 4,177.89

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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.