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Finding the Fourth Proportional to 11,662.64, 17,495.28 and 3,872.16

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Solution

The fourth proportional to 11,662.64, 17,495.28 and 3,872.16 is: 5,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.64 : 17,495.28 = 3,872.16 : x
  2. Step 2: Convert to fraction form
    11,662.64/17,495.28 = 3,872.16/x
  3. Step 3: Cross multiply
    11,662.64x = 17,495.28 × 3,872.16
  4. Step 4: Simplify right side
    11,662.64x = 67,744,523.40
  5. Step 5: Solve for x
    x = 67,744,523.40/11,662.64
  6. Step 6: Final answer
    x = 5,808.68

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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.