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Finding the Fourth Proportional to 7,426, 11,142.84 and 3,778

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Solution

The fourth proportional to 7,426, 11,142.84 and 3,778 is: 5,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426 : 11,142.84 = 3,778 : x
  2. Step 2: Convert to fraction form
    7,426/11,142.84 = 3,778/x
  3. Step 3: Cross multiply
    7,426x = 11,142.84 × 3,778
  4. Step 4: Simplify right side
    7,426x = 42,097,649.52
  5. Step 5: Solve for x
    x = 42,097,649.52/7,426
  6. Step 6: Final answer
    x = 5,668.95

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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.