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Finding the Fourth Proportional to 6,410.60, 9,616.80 and 2,027.60

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Solution

The fourth proportional to 6,410.60, 9,616.80 and 2,027.60 is: 3,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.60 : 9,616.80 = 2,027.60 : x
  2. Step 2: Convert to fraction form
    6,410.60/9,616.80 = 2,027.60/x
  3. Step 3: Cross multiply
    6,410.60x = 9,616.80 × 2,027.60
  4. Step 4: Simplify right side
    6,410.60x = 19,499,023.68
  5. Step 5: Solve for x
    x = 19,499,023.68/6,410.60
  6. Step 6: Final answer
    x = 3,041.68

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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.