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Finding the Fourth Proportional to 13,409.72, 18,509 and 8,370.91

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Solution

The fourth proportional to 13,409.72, 18,509 and 8,370.91 is: 11,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.72 : 18,509 = 8,370.91 : x
  2. Step 2: Convert to fraction form
    13,409.72/18,509 = 8,370.91/x
  3. Step 3: Cross multiply
    13,409.72x = 18,509 × 8,370.91
  4. Step 4: Simplify right side
    13,409.72x = 154,937,080.65
  5. Step 5: Solve for x
    x = 154,937,080.65/13,409.72
  6. Step 6: Final answer
    x = 11,554.09

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1.5x scale

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.