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Finding the Fourth Proportional to 13,649.88, 20,474.01 and 13,280.52

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Solution

The fourth proportional to 13,649.88, 20,474.01 and 13,280.52 is: 19,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.88 : 20,474.01 = 13,280.52 : x
  2. Step 2: Convert to fraction form
    13,649.88/20,474.01 = 13,280.52/x
  3. Step 3: Cross multiply
    13,649.88x = 20,474.01 × 13,280.52
  4. Step 4: Simplify right side
    13,649.88x = 271,905,499.29
  5. Step 5: Solve for x
    x = 271,905,499.29/13,649.88
  6. Step 6: Final answer
    x = 19,919.99

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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.