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Finding the Fourth Proportional to 18,483.80, 27,740.28 and 8,618

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Solution

The fourth proportional to 18,483.80, 27,740.28 and 8,618 is: 12,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483.80 : 27,740.28 = 8,618 : x
  2. Step 2: Convert to fraction form
    18,483.80/27,740.28 = 8,618/x
  3. Step 3: Cross multiply
    18,483.80x = 27,740.28 × 8,618
  4. Step 4: Simplify right side
    18,483.80x = 239,065,733.04
  5. Step 5: Solve for x
    x = 239,065,733.04/18,483.80
  6. Step 6: Final answer
    x = 12,933.80

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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.