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Finding the Fourth Proportional to 7,866.66, 11,798.37 and 2,318.85

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Solution

The fourth proportional to 7,866.66, 11,798.37 and 2,318.85 is: 3,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.66 : 11,798.37 = 2,318.85 : x
  2. Step 2: Convert to fraction form
    7,866.66/11,798.37 = 2,318.85/x
  3. Step 3: Cross multiply
    7,866.66x = 11,798.37 × 2,318.85
  4. Step 4: Simplify right side
    7,866.66x = 27,358,650.27
  5. Step 5: Solve for x
    x = 27,358,650.27/7,866.66
  6. Step 6: Final answer
    x = 3,477.80

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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.