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Finding the Fourth Proportional to 18,428.76, 27,638.28 and 6,742.08

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Solution

The fourth proportional to 18,428.76, 27,638.28 and 6,742.08 is: 10,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.76 : 27,638.28 = 6,742.08 : x
  2. Step 2: Convert to fraction form
    18,428.76/27,638.28 = 6,742.08/x
  3. Step 3: Cross multiply
    18,428.76x = 27,638.28 × 6,742.08
  4. Step 4: Simplify right side
    18,428.76x = 186,339,494.82
  5. Step 5: Solve for x
    x = 186,339,494.82/18,428.76
  6. Step 6: Final answer
    x = 10,111.34

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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.