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Finding the Fourth Proportional to 27,603, 41,411.07 and 9,135

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Solution

The fourth proportional to 27,603, 41,411.07 and 9,135 is: 13,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603 : 41,411.07 = 9,135 : x
  2. Step 2: Convert to fraction form
    27,603/41,411.07 = 9,135/x
  3. Step 3: Cross multiply
    27,603x = 41,411.07 × 9,135
  4. Step 4: Simplify right side
    27,603x = 378,290,124.45
  5. Step 5: Solve for x
    x = 378,290,124.45/27,603
  6. Step 6: Final answer
    x = 13,704.67

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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.