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Finding the Fourth Proportional to 11,613.16, 17,419.74 and 3,824.20

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Solution

The fourth proportional to 11,613.16, 17,419.74 and 3,824.20 is: 5,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.16 : 17,419.74 = 3,824.20 : x
  2. Step 2: Convert to fraction form
    11,613.16/17,419.74 = 3,824.20/x
  3. Step 3: Cross multiply
    11,613.16x = 17,419.74 × 3,824.20
  4. Step 4: Simplify right side
    11,613.16x = 66,616,569.71
  5. Step 5: Solve for x
    x = 66,616,569.71/11,613.16
  6. Step 6: Final answer
    x = 5,736.30

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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.