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Finding the Fourth Proportional to 13,409.72, 18,509 and 8,370.90

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Solution

The fourth proportional to 13,409.72, 18,509 and 8,370.90 is: 11,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.72 : 18,509 = 8,370.90 : x
  2. Step 2: Convert to fraction form
    13,409.72/18,509 = 8,370.90/x
  3. Step 3: Cross multiply
    13,409.72x = 18,509 × 8,370.90
  4. Step 4: Simplify right side
    13,409.72x = 154,936,988.10
  5. Step 5: Solve for x
    x = 154,936,988.10/13,409.72
  6. Step 6: Final answer
    x = 11,554.08

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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.