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Finding the Fourth Proportional to 8,322.60, 11,485.68 and 4,786.20

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Solution

The fourth proportional to 8,322.60, 11,485.68 and 4,786.20 is: 6,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.60 : 11,485.68 = 4,786.20 : x
  2. Step 2: Convert to fraction form
    8,322.60/11,485.68 = 4,786.20/x
  3. Step 3: Cross multiply
    8,322.60x = 11,485.68 × 4,786.20
  4. Step 4: Simplify right side
    8,322.60x = 54,972,761.62
  5. Step 5: Solve for x
    x = 54,972,761.62/8,322.60
  6. Step 6: Final answer
    x = 6,605.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.