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Finding the Fourth Proportional to 4,978.26, 7,467.48 and 1,280.52

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Solution

The fourth proportional to 4,978.26, 7,467.48 and 1,280.52 is: 1,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.26 : 7,467.48 = 1,280.52 : x
  2. Step 2: Convert to fraction form
    4,978.26/7,467.48 = 1,280.52/x
  3. Step 3: Cross multiply
    4,978.26x = 7,467.48 × 1,280.52
  4. Step 4: Simplify right side
    4,978.26x = 9,562,257.49
  5. Step 5: Solve for x
    x = 9,562,257.49/4,978.26
  6. Step 6: Final answer
    x = 1,920.80

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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.