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Finding the Fourth Proportional to 18,530.40, 27,806.40 and 6,844.80

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Solution

The fourth proportional to 18,530.40, 27,806.40 and 6,844.80 is: 10,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.40 : 27,806.40 = 6,844.80 : x
  2. Step 2: Convert to fraction form
    18,530.40/27,806.40 = 6,844.80/x
  3. Step 3: Cross multiply
    18,530.40x = 27,806.40 × 6,844.80
  4. Step 4: Simplify right side
    18,530.40x = 190,329,246.72
  5. Step 5: Solve for x
    x = 190,329,246.72/18,530.40
  6. Step 6: Final answer
    x = 10,271.19

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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.