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Finding the Fourth Proportional to 18,630, 27,949.32 and 6,318

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Solution

The fourth proportional to 18,630, 27,949.32 and 6,318 is: 9,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,630 : 27,949.32 = 6,318 : x
  2. Step 2: Convert to fraction form
    18,630/27,949.32 = 6,318/x
  3. Step 3: Cross multiply
    18,630x = 27,949.32 × 6,318
  4. Step 4: Simplify right side
    18,630x = 176,583,803.76
  5. Step 5: Solve for x
    x = 176,583,803.76/18,630
  6. Step 6: Final answer
    x = 9,478.47

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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.