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Finding the Fourth Proportional to 13,690.41, 18,889.48 and 8,312.71

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Solution

The fourth proportional to 13,690.41, 18,889.48 and 8,312.71 is: 11,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.41 : 18,889.48 = 8,312.71 : x
  2. Step 2: Convert to fraction form
    13,690.41/18,889.48 = 8,312.71/x
  3. Step 3: Cross multiply
    13,690.41x = 18,889.48 × 8,312.71
  4. Step 4: Simplify right side
    13,690.41x = 157,022,769.29
  5. Step 5: Solve for x
    x = 157,022,769.29/13,690.41
  6. Step 6: Final answer
    x = 11,469.54

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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.