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Finding the Fourth Proportional to 18,271.42, 27,409.99 and 7,741.47

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Solution

The fourth proportional to 18,271.42, 27,409.99 and 7,741.47 is: 11,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.42 : 27,409.99 = 7,741.47 : x
  2. Step 2: Convert to fraction form
    18,271.42/27,409.99 = 7,741.47/x
  3. Step 3: Cross multiply
    18,271.42x = 27,409.99 × 7,741.47
  4. Step 4: Simplify right side
    18,271.42x = 212,193,615.29
  5. Step 5: Solve for x
    x = 212,193,615.29/18,271.42
  6. Step 6: Final answer
    x = 11,613.42

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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.