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Finding the Fourth Proportional to 38,823, 58,234.50 and 9,639

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Solution

The fourth proportional to 38,823, 58,234.50 and 9,639 is: 14,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823 : 58,234.50 = 9,639 : x
  2. Step 2: Convert to fraction form
    38,823/58,234.50 = 9,639/x
  3. Step 3: Cross multiply
    38,823x = 58,234.50 × 9,639
  4. Step 4: Simplify right side
    38,823x = 561,322,345.50
  5. Step 5: Solve for x
    x = 561,322,345.50/38,823
  6. Step 6: Final answer
    x = 14,458.50

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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.