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Finding the Fourth Proportional to 8,978.90, 13,467.40 and 2,405.75

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Solution

The fourth proportional to 8,978.90, 13,467.40 and 2,405.75 is: 3,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.90 : 13,467.40 = 2,405.75 : x
  2. Step 2: Convert to fraction form
    8,978.90/13,467.40 = 2,405.75/x
  3. Step 3: Cross multiply
    8,978.90x = 13,467.40 × 2,405.75
  4. Step 4: Simplify right side
    8,978.90x = 32,399,197.55
  5. Step 5: Solve for x
    x = 32,399,197.55/8,978.90
  6. Step 6: Final answer
    x = 3,608.37

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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.