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Finding the Fourth Proportional to 13,649.35, 18,824.49 and 8,270.54

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Solution

The fourth proportional to 13,649.35, 18,824.49 and 8,270.54 is: 11,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.35 : 18,824.49 = 8,270.54 : x
  2. Step 2: Convert to fraction form
    13,649.35/18,824.49 = 8,270.54/x
  3. Step 3: Cross multiply
    13,649.35x = 18,824.49 × 8,270.54
  4. Step 4: Simplify right side
    13,649.35x = 155,688,741.78
  5. Step 5: Solve for x
    x = 155,688,741.78/13,649.35
  6. Step 6: Final answer
    x = 11,406.31

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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.