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Finding the Fourth Proportional to 13,615.64, 18,796.74 and 9,162.80

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Solution

The fourth proportional to 13,615.64, 18,796.74 and 9,162.80 is: 12,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.64 : 18,796.74 = 9,162.80 : x
  2. Step 2: Convert to fraction form
    13,615.64/18,796.74 = 9,162.80/x
  3. Step 3: Cross multiply
    13,615.64x = 18,796.74 × 9,162.80
  4. Step 4: Simplify right side
    13,615.64x = 172,230,769.27
  5. Step 5: Solve for x
    x = 172,230,769.27/13,615.64
  6. Step 6: Final answer
    x = 12,649.48

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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.