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Finding the Fourth Proportional to 3,506.80, 4,824.48 and 3,409.60

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Solution

The fourth proportional to 3,506.80, 4,824.48 and 3,409.60 is: 4,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 4,824.48 = 3,409.60 : x
  2. Step 2: Convert to fraction form
    3,506.80/4,824.48 = 3,409.60/x
  3. Step 3: Cross multiply
    3,506.80x = 4,824.48 × 3,409.60
  4. Step 4: Simplify right side
    3,506.80x = 16,449,547.01
  5. Step 5: Solve for x
    x = 16,449,547.01/3,506.80
  6. Step 6: Final answer
    x = 4,690.76

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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.