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Finding the Fourth Proportional to 11,111.76, 16,668 and 4,538.16

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Solution

The fourth proportional to 11,111.76, 16,668 and 4,538.16 is: 6,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.76 : 16,668 = 4,538.16 : x
  2. Step 2: Convert to fraction form
    11,111.76/16,668 = 4,538.16/x
  3. Step 3: Cross multiply
    11,111.76x = 16,668 × 4,538.16
  4. Step 4: Simplify right side
    11,111.76x = 75,642,050.88
  5. Step 5: Solve for x
    x = 75,642,050.88/11,111.76
  6. Step 6: Final answer
    x = 6,807.39

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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.