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Finding the Fourth Proportional to 13,775.67, 19,012.04 and 8,186.67

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Solution

The fourth proportional to 13,775.67, 19,012.04 and 8,186.67 is: 11,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.67 : 19,012.04 = 8,186.67 : x
  2. Step 2: Convert to fraction form
    13,775.67/19,012.04 = 8,186.67/x
  3. Step 3: Cross multiply
    13,775.67x = 19,012.04 × 8,186.67
  4. Step 4: Simplify right side
    13,775.67x = 155,645,297.51
  5. Step 5: Solve for x
    x = 155,645,297.51/13,775.67
  6. Step 6: Final answer
    x = 11,298.56

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1.5x scale

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.