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Finding the Fourth Proportional to 13,490.65, 18,619.35 and 8,189.00

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Solution

The fourth proportional to 13,490.65, 18,619.35 and 8,189.00 is: 11,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.65 : 18,619.35 = 8,189.00 : x
  2. Step 2: Convert to fraction form
    13,490.65/18,619.35 = 8,189.00/x
  3. Step 3: Cross multiply
    13,490.65x = 18,619.35 × 8,189.00
  4. Step 4: Simplify right side
    13,490.65x = 152,473,764.05
  5. Step 5: Solve for x
    x = 152,473,764.05/13,490.65
  6. Step 6: Final answer
    x = 11,302.18

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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.