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Finding the Fourth Proportional to 12,133.88, 16,742.93 and 6,828.59

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Solution

The fourth proportional to 12,133.88, 16,742.93 and 6,828.59 is: 9,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.88 : 16,742.93 = 6,828.59 : x
  2. Step 2: Convert to fraction form
    12,133.88/16,742.93 = 6,828.59/x
  3. Step 3: Cross multiply
    12,133.88x = 16,742.93 × 6,828.59
  4. Step 4: Simplify right side
    12,133.88x = 114,330,486.51
  5. Step 5: Solve for x
    x = 114,330,486.51/12,133.88
  6. Step 6: Final answer
    x = 9,422.42

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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.