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Finding the Fourth Proportional to 7,642, 11,463.54 and 3,025

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Solution

The fourth proportional to 7,642, 11,463.54 and 3,025 is: 4,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 11,463.54 = 3,025 : x
  2. Step 2: Convert to fraction form
    7,642/11,463.54 = 3,025/x
  3. Step 3: Cross multiply
    7,642x = 11,463.54 × 3,025
  4. Step 4: Simplify right side
    7,642x = 34,677,208.50
  5. Step 5: Solve for x
    x = 34,677,208.50/7,642
  6. Step 6: Final answer
    x = 4,537.71

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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.