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Finding the Fourth Proportional to 13,833.95, 20,757 and 7,258.58

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Solution

The fourth proportional to 13,833.95, 20,757 and 7,258.58 is: 10,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.95 : 20,757 = 7,258.58 : x
  2. Step 2: Convert to fraction form
    13,833.95/20,757 = 7,258.58/x
  3. Step 3: Cross multiply
    13,833.95x = 20,757 × 7,258.58
  4. Step 4: Simplify right side
    13,833.95x = 150,666,396.95
  5. Step 5: Solve for x
    x = 150,666,396.95/13,833.95
  6. Step 6: Final answer
    x = 10,891.07

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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.