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Finding the Fourth Proportional to 11,773, 17,662.54 and 4,377.70

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Solution

The fourth proportional to 11,773, 17,662.54 and 4,377.70 is: 6,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773 : 17,662.54 = 4,377.70 : x
  2. Step 2: Convert to fraction form
    11,773/17,662.54 = 4,377.70/x
  3. Step 3: Cross multiply
    11,773x = 17,662.54 × 4,377.70
  4. Step 4: Simplify right side
    11,773x = 77,321,301.36
  5. Step 5: Solve for x
    x = 77,321,301.36/11,773
  6. Step 6: Final answer
    x = 6,567.68

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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.