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Finding the Fourth Proportional to 11,898.42, 16,422.12 and 6,865.89

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Solution

The fourth proportional to 11,898.42, 16,422.12 and 6,865.89 is: 9,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.42 : 16,422.12 = 6,865.89 : x
  2. Step 2: Convert to fraction form
    11,898.42/16,422.12 = 6,865.89/x
  3. Step 3: Cross multiply
    11,898.42x = 16,422.12 × 6,865.89
  4. Step 4: Simplify right side
    11,898.42x = 112,752,469.49
  5. Step 5: Solve for x
    x = 112,752,469.49/11,898.42
  6. Step 6: Final answer
    x = 9,476.26

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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.