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Finding the Fourth Proportional to 17,639.12, 26,438.48 and 7,238

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Solution

The fourth proportional to 17,639.12, 26,438.48 and 7,238 is: 10,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.12 : 26,438.48 = 7,238 : x
  2. Step 2: Convert to fraction form
    17,639.12/26,438.48 = 7,238/x
  3. Step 3: Cross multiply
    17,639.12x = 26,438.48 × 7,238
  4. Step 4: Simplify right side
    17,639.12x = 191,361,718.24
  5. Step 5: Solve for x
    x = 191,361,718.24/17,639.12
  6. Step 6: Final answer
    x = 10,848.71

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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.