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Finding the Fourth Proportional to 7,762.61, 11,639.37 and 3,078.79

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Solution

The fourth proportional to 7,762.61, 11,639.37 and 3,078.79 is: 4,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.61 : 11,639.37 = 3,078.79 : x
  2. Step 2: Convert to fraction form
    7,762.61/11,639.37 = 3,078.79/x
  3. Step 3: Cross multiply
    7,762.61x = 11,639.37 × 3,078.79
  4. Step 4: Simplify right side
    7,762.61x = 35,835,175.96
  5. Step 5: Solve for x
    x = 35,835,175.96/7,762.61
  6. Step 6: Final answer
    x = 4,616.38

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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.