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Finding the Fourth Proportional to 18,652.50, 27,986.58 and 7,567.11

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Solution

The fourth proportional to 18,652.50, 27,986.58 and 7,567.11 is: 11,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.50 : 27,986.58 = 7,567.11 : x
  2. Step 2: Convert to fraction form
    18,652.50/27,986.58 = 7,567.11/x
  3. Step 3: Cross multiply
    18,652.50x = 27,986.58 × 7,567.11
  4. Step 4: Simplify right side
    18,652.50x = 211,777,529.38
  5. Step 5: Solve for x
    x = 211,777,529.38/18,652.50
  6. Step 6: Final answer
    x = 11,353.84

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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.