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Finding the Fourth Proportional to 12,128.93, 16,736.65 and 6,823.29

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Solution

The fourth proportional to 12,128.93, 16,736.65 and 6,823.29 is: 9,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.93 : 16,736.65 = 6,823.29 : x
  2. Step 2: Convert to fraction form
    12,128.93/16,736.65 = 6,823.29/x
  3. Step 3: Cross multiply
    12,128.93x = 16,736.65 × 6,823.29
  4. Step 4: Simplify right side
    12,128.93x = 114,199,016.58
  5. Step 5: Solve for x
    x = 114,199,016.58/12,128.93
  6. Step 6: Final answer
    x = 9,415.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.