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Finding the Fourth Proportional to 36,782, 55,173.14 and 9,080

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Solution

The fourth proportional to 36,782, 55,173.14 and 9,080 is: 13,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782 : 55,173.14 = 9,080 : x
  2. Step 2: Convert to fraction form
    36,782/55,173.14 = 9,080/x
  3. Step 3: Cross multiply
    36,782x = 55,173.14 × 9,080
  4. Step 4: Simplify right side
    36,782x = 500,972,111.20
  5. Step 5: Solve for x
    x = 500,972,111.20/36,782
  6. Step 6: Final answer
    x = 13,620.03

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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.