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Finding the Fourth Proportional to 11,660.64, 17,422.72 and 11,252.32

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Solution

The fourth proportional to 11,660.64, 17,422.72 and 11,252.32 is: 16,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.64 : 17,422.72 = 11,252.32 : x
  2. Step 2: Convert to fraction form
    11,660.64/17,422.72 = 11,252.32/x
  3. Step 3: Cross multiply
    11,660.64x = 17,422.72 × 11,252.32
  4. Step 4: Simplify right side
    11,660.64x = 196,046,020.71
  5. Step 5: Solve for x
    x = 196,046,020.71/11,660.64
  6. Step 6: Final answer
    x = 16,812.63

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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.