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Finding the Fourth Proportional to 8,316.77, 11,472.05 and 5,665.37

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Solution

The fourth proportional to 8,316.77, 11,472.05 and 5,665.37 is: 7,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.77 : 11,472.05 = 5,665.37 : x
  2. Step 2: Convert to fraction form
    8,316.77/11,472.05 = 5,665.37/x
  3. Step 3: Cross multiply
    8,316.77x = 11,472.05 × 5,665.37
  4. Step 4: Simplify right side
    8,316.77x = 64,993,379.58
  5. Step 5: Solve for x
    x = 64,993,379.58/8,316.77
  6. Step 6: Final answer
    x = 7,814.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.