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Finding the Fourth Proportional to 9,135, 12,606.30 and 5,409

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Solution

The fourth proportional to 9,135, 12,606.30 and 5,409 is: 7,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135 : 12,606.30 = 5,409 : x
  2. Step 2: Convert to fraction form
    9,135/12,606.30 = 5,409/x
  3. Step 3: Cross multiply
    9,135x = 12,606.30 × 5,409
  4. Step 4: Simplify right side
    9,135x = 68,187,476.70
  5. Step 5: Solve for x
    x = 68,187,476.70/9,135
  6. Step 6: Final answer
    x = 7,464.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.