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Finding the Fourth Proportional to 18,357.53, 27,536.55 and 5,209.90

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Solution

The fourth proportional to 18,357.53, 27,536.55 and 5,209.90 is: 7,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.53 : 27,536.55 = 5,209.90 : x
  2. Step 2: Convert to fraction form
    18,357.53/27,536.55 = 5,209.90/x
  3. Step 3: Cross multiply
    18,357.53x = 27,536.55 × 5,209.90
  4. Step 4: Simplify right side
    18,357.53x = 143,462,705.92
  5. Step 5: Solve for x
    x = 143,462,705.92/18,357.53
  6. Step 6: Final answer
    x = 7,814.92

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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.