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Finding the Fourth Proportional to 38,409, 57,613.50 and 9,225

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Solution

The fourth proportional to 38,409, 57,613.50 and 9,225 is: 13,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409 : 57,613.50 = 9,225 : x
  2. Step 2: Convert to fraction form
    38,409/57,613.50 = 9,225/x
  3. Step 3: Cross multiply
    38,409x = 57,613.50 × 9,225
  4. Step 4: Simplify right side
    38,409x = 531,484,537.50
  5. Step 5: Solve for x
    x = 531,484,537.50/38,409
  6. Step 6: Final answer
    x = 13,837.50

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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.