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Finding the Fourth Proportional to 13,978.50, 20,967.75 and 3,590.25

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Solution

The fourth proportional to 13,978.50, 20,967.75 and 3,590.25 is: 5,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.50 : 20,967.75 = 3,590.25 : x
  2. Step 2: Convert to fraction form
    13,978.50/20,967.75 = 3,590.25/x
  3. Step 3: Cross multiply
    13,978.50x = 20,967.75 × 3,590.25
  4. Step 4: Simplify right side
    13,978.50x = 75,279,464.44
  5. Step 5: Solve for x
    x = 75,279,464.44/13,978.50
  6. Step 6: Final answer
    x = 5,385.38

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1.5x scale

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.