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Finding the Fourth Proportional to 4,616.80, 6,921.60 and 2,564.80

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Solution

The fourth proportional to 4,616.80, 6,921.60 and 2,564.80 is: 3,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.80 : 6,921.60 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    4,616.80/6,921.60 = 2,564.80/x
  3. Step 3: Cross multiply
    4,616.80x = 6,921.60 × 2,564.80
  4. Step 4: Simplify right side
    4,616.80x = 17,752,519.68
  5. Step 5: Solve for x
    x = 17,752,519.68/4,616.80
  6. Step 6: Final answer
    x = 3,845.20

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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.