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Finding the Fourth Proportional to 7,605, 11,408.94 and 3,501

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Solution

The fourth proportional to 7,605, 11,408.94 and 3,501 is: 5,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605 : 11,408.94 = 3,501 : x
  2. Step 2: Convert to fraction form
    7,605/11,408.94 = 3,501/x
  3. Step 3: Cross multiply
    7,605x = 11,408.94 × 3,501
  4. Step 4: Simplify right side
    7,605x = 39,942,698.94
  5. Step 5: Solve for x
    x = 39,942,698.94/7,605
  6. Step 6: Final answer
    x = 5,252.16

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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.