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Finding the Fourth Proportional to 13,649.46, 18,826.83 and 8,346.89

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Solution

The fourth proportional to 13,649.46, 18,826.83 and 8,346.89 is: 11,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.46 : 18,826.83 = 8,346.89 : x
  2. Step 2: Convert to fraction form
    13,649.46/18,826.83 = 8,346.89/x
  3. Step 3: Cross multiply
    13,649.46x = 18,826.83 × 8,346.89
  4. Step 4: Simplify right side
    13,649.46x = 157,145,384.92
  5. Step 5: Solve for x
    x = 157,145,384.92/13,649.46
  6. Step 6: Final answer
    x = 11,512.94

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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.