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Finding the Fourth Proportional to 11,902.94, 16,427.76 and 6,868.89

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Solution

The fourth proportional to 11,902.94, 16,427.76 and 6,868.89 is: 9,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.94 : 16,427.76 = 6,868.89 : x
  2. Step 2: Convert to fraction form
    11,902.94/16,427.76 = 6,868.89/x
  3. Step 3: Cross multiply
    11,902.94x = 16,427.76 × 6,868.89
  4. Step 4: Simplify right side
    11,902.94x = 112,840,535.47
  5. Step 5: Solve for x
    x = 112,840,535.47/11,902.94
  6. Step 6: Final answer
    x = 9,480.05

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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.