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Finding the Fourth Proportional to 7,762.00, 11,645.82 and 3,812.84

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Solution

The fourth proportional to 7,762.00, 11,645.82 and 3,812.84 is: 5,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.00 : 11,645.82 = 3,812.84 : x
  2. Step 2: Convert to fraction form
    7,762.00/11,645.82 = 3,812.84/x
  3. Step 3: Cross multiply
    7,762.00x = 11,645.82 × 3,812.84
  4. Step 4: Simplify right side
    7,762.00x = 44,403,677.44
  5. Step 5: Solve for x
    x = 44,403,677.44/7,762.00
  6. Step 6: Final answer
    x = 5,720.65

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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.