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Finding the Fourth Proportional to 18,135, 27,202.68 and 6,448.68

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Solution

The fourth proportional to 18,135, 27,202.68 and 6,448.68 is: 9,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135 : 27,202.68 = 6,448.68 : x
  2. Step 2: Convert to fraction form
    18,135/27,202.68 = 6,448.68/x
  3. Step 3: Cross multiply
    18,135x = 27,202.68 × 6,448.68
  4. Step 4: Simplify right side
    18,135x = 175,421,378.46
  5. Step 5: Solve for x
    x = 175,421,378.46/18,135
  6. Step 6: Final answer
    x = 9,673.08

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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.