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Finding the Fourth Proportional to 11,668.64, 17,434.64 and 11,260.32

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Solution

The fourth proportional to 11,668.64, 17,434.64 and 11,260.32 is: 16,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.64 : 17,434.64 = 11,260.32 : x
  2. Step 2: Convert to fraction form
    11,668.64/17,434.64 = 11,260.32/x
  3. Step 3: Cross multiply
    11,668.64x = 17,434.64 × 11,260.32
  4. Step 4: Simplify right side
    11,668.64x = 196,319,625.48
  5. Step 5: Solve for x
    x = 196,319,625.48/11,668.64
  6. Step 6: Final answer
    x = 16,824.55

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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.