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Finding the Fourth Proportional to 7,762, 11,643 and 3,145

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Solution

The fourth proportional to 7,762, 11,643 and 3,145 is: 4,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762 : 11,643 = 3,145 : x
  2. Step 2: Convert to fraction form
    7,762/11,643 = 3,145/x
  3. Step 3: Cross multiply
    7,762x = 11,643 × 3,145
  4. Step 4: Simplify right side
    7,762x = 36,617,235
  5. Step 5: Solve for x
    x = 36,617,235/7,762
  6. Step 6: Final answer
    x = 4,717.50

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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.