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Finding the Fourth Proportional to 11,885.81, 17,828.42 and 6,895.62

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Solution

The fourth proportional to 11,885.81, 17,828.42 and 6,895.62 is: 10,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.81 : 17,828.42 = 6,895.62 : x
  2. Step 2: Convert to fraction form
    11,885.81/17,828.42 = 6,895.62/x
  3. Step 3: Cross multiply
    11,885.81x = 17,828.42 × 6,895.62
  4. Step 4: Simplify right side
    11,885.81x = 122,937,975.04
  5. Step 5: Solve for x
    x = 122,937,975.04/11,885.81
  6. Step 6: Final answer
    x = 10,343.26

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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.