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Finding the Fourth Proportional to 11,814.40, 17,709.09 and 3,914.88

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Solution

The fourth proportional to 11,814.40, 17,709.09 and 3,914.88 is: 5,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.40 : 17,709.09 = 3,914.88 : x
  2. Step 2: Convert to fraction form
    11,814.40/17,709.09 = 3,914.88/x
  3. Step 3: Cross multiply
    11,814.40x = 17,709.09 × 3,914.88
  4. Step 4: Simplify right side
    11,814.40x = 69,328,962.26
  5. Step 5: Solve for x
    x = 69,328,962.26/11,814.40
  6. Step 6: Final answer
    x = 5,868.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.