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Finding the Fourth Proportional to 4,978.56, 7,467.84 and 4,650.48

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Solution

The fourth proportional to 4,978.56, 7,467.84 and 4,650.48 is: 6,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.56 : 7,467.84 = 4,650.48 : x
  2. Step 2: Convert to fraction form
    4,978.56/7,467.84 = 4,650.48/x
  3. Step 3: Cross multiply
    4,978.56x = 7,467.84 × 4,650.48
  4. Step 4: Simplify right side
    4,978.56x = 34,729,040.56
  5. Step 5: Solve for x
    x = 34,729,040.56/4,978.56
  6. Step 6: Final answer
    x = 6,975.72

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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.