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Finding the Fourth Proportional to 4,409.66, 6,580.41 and 3,918.80

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Solution

The fourth proportional to 4,409.66, 6,580.41 and 3,918.80 is: 5,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.66 : 6,580.41 = 3,918.80 : x
  2. Step 2: Convert to fraction form
    4,409.66/6,580.41 = 3,918.80/x
  3. Step 3: Cross multiply
    4,409.66x = 6,580.41 × 3,918.80
  4. Step 4: Simplify right side
    4,409.66x = 25,787,291.11
  5. Step 5: Solve for x
    x = 25,787,291.11/4,409.66
  6. Step 6: Final answer
    x = 5,847.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.