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Finding the Fourth Proportional to 13,649.78, 20,454.14 and 7,720.28

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Solution

The fourth proportional to 13,649.78, 20,454.14 and 7,720.28 is: 11,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.78 : 20,454.14 = 7,720.28 : x
  2. Step 2: Convert to fraction form
    13,649.78/20,454.14 = 7,720.28/x
  3. Step 3: Cross multiply
    13,649.78x = 20,454.14 × 7,720.28
  4. Step 4: Simplify right side
    13,649.78x = 157,911,687.96
  5. Step 5: Solve for x
    x = 157,911,687.96/13,649.78
  6. Step 6: Final answer
    x = 11,568.81

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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.