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Finding the Fourth Proportional to 5,781.20, 8,662.20 and 5,435.60

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Solution

The fourth proportional to 5,781.20, 8,662.20 and 5,435.60 is: 8,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.20 : 8,662.20 = 5,435.60 : x
  2. Step 2: Convert to fraction form
    5,781.20/8,662.20 = 5,435.60/x
  3. Step 3: Cross multiply
    5,781.20x = 8,662.20 × 5,435.60
  4. Step 4: Simplify right side
    5,781.20x = 47,084,254.32
  5. Step 5: Solve for x
    x = 47,084,254.32/5,781.20
  6. Step 6: Final answer
    x = 8,144.37

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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.