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Finding the Fourth Proportional to 13,649.96, 20,479.94 and 5,754.46

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Solution

The fourth proportional to 13,649.96, 20,479.94 and 5,754.46 is: 8,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.96 : 20,479.94 = 5,754.46 : x
  2. Step 2: Convert to fraction form
    13,649.96/20,479.94 = 5,754.46/x
  3. Step 3: Cross multiply
    13,649.96x = 20,479.94 × 5,754.46
  4. Step 4: Simplify right side
    13,649.96x = 117,850,995.53
  5. Step 5: Solve for x
    x = 117,850,995.53/13,649.96
  6. Step 6: Final answer
    x = 8,633.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.