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Finding the Fourth Proportional to 20,775.12, 31,167 and 9,085.20

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Solution

The fourth proportional to 20,775.12, 31,167 and 9,085.20 is: 13,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.12 : 31,167 = 9,085.20 : x
  2. Step 2: Convert to fraction form
    20,775.12/31,167 = 9,085.20/x
  3. Step 3: Cross multiply
    20,775.12x = 31,167 × 9,085.20
  4. Step 4: Simplify right side
    20,775.12x = 283,158,428.40
  5. Step 5: Solve for x
    x = 283,158,428.40/20,775.12
  6. Step 6: Final answer
    x = 13,629.69

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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.