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Finding the Fourth Proportional to 13,509.64, 20,264.46 and 3,649.96

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Solution

The fourth proportional to 13,509.64, 20,264.46 and 3,649.96 is: 5,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.64 : 20,264.46 = 3,649.96 : x
  2. Step 2: Convert to fraction form
    13,509.64/20,264.46 = 3,649.96/x
  3. Step 3: Cross multiply
    13,509.64x = 20,264.46 × 3,649.96
  4. Step 4: Simplify right side
    13,509.64x = 73,964,468.42
  5. Step 5: Solve for x
    x = 73,964,468.42/13,509.64
  6. Step 6: Final answer
    x = 5,474.94

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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.