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Finding the Fourth Proportional to 11,111, 16,668.74 and 4,955

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Solution

The fourth proportional to 11,111, 16,668.74 and 4,955 is: 7,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111 : 16,668.74 = 4,955 : x
  2. Step 2: Convert to fraction form
    11,111/16,668.74 = 4,955/x
  3. Step 3: Cross multiply
    11,111x = 16,668.74 × 4,955
  4. Step 4: Simplify right side
    11,111x = 82,593,606.70
  5. Step 5: Solve for x
    x = 82,593,606.70/11,111
  6. Step 6: Final answer
    x = 7,433.50

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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.