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Finding the Fourth Proportional to 18,630, 25,709.81 and 10,246.50

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Solution

The fourth proportional to 18,630, 25,709.81 and 10,246.50 is: 14,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,630 : 25,709.81 = 10,246.50 : x
  2. Step 2: Convert to fraction form
    18,630/25,709.81 = 10,246.50/x
  3. Step 3: Cross multiply
    18,630x = 25,709.81 × 10,246.50
  4. Step 4: Simplify right side
    18,630x = 263,435,516.93
  5. Step 5: Solve for x
    x = 263,435,516.93/18,630
  6. Step 6: Final answer
    x = 14,140.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.