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Finding the Fourth Proportional to 20,435.22, 30,656.48 and 7,962.03

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Solution

The fourth proportional to 20,435.22, 30,656.48 and 7,962.03 is: 11,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.22 : 30,656.48 = 7,962.03 : x
  2. Step 2: Convert to fraction form
    20,435.22/30,656.48 = 7,962.03/x
  3. Step 3: Cross multiply
    20,435.22x = 30,656.48 × 7,962.03
  4. Step 4: Simplify right side
    20,435.22x = 244,087,813.45
  5. Step 5: Solve for x
    x = 244,087,813.45/20,435.22
  6. Step 6: Final answer
    x = 11,944.47

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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.