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Finding the Fourth Proportional to 11,744.64, 17,621.28 and 8,461.44

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Solution

The fourth proportional to 11,744.64, 17,621.28 and 8,461.44 is: 12,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.64 : 17,621.28 = 8,461.44 : x
  2. Step 2: Convert to fraction form
    11,744.64/17,621.28 = 8,461.44/x
  3. Step 3: Cross multiply
    11,744.64x = 17,621.28 × 8,461.44
  4. Step 4: Simplify right side
    11,744.64x = 149,101,403.44
  5. Step 5: Solve for x
    x = 149,101,403.44/11,744.64
  6. Step 6: Final answer
    x = 12,695.27

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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.