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Finding the Fourth Proportional to 20,591.82, 30,878.01 and 9,495.23

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Solution

The fourth proportional to 20,591.82, 30,878.01 and 9,495.23 is: 14,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.82 : 30,878.01 = 9,495.23 : x
  2. Step 2: Convert to fraction form
    20,591.82/30,878.01 = 9,495.23/x
  3. Step 3: Cross multiply
    20,591.82x = 30,878.01 × 9,495.23
  4. Step 4: Simplify right side
    20,591.82x = 293,193,652.50
  5. Step 5: Solve for x
    x = 293,193,652.50/20,591.82
  6. Step 6: Final answer
    x = 14,238.36

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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.