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Finding the Fourth Proportional to 38,203.80, 57,315.64 and 14,511.80

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Solution

The fourth proportional to 38,203.80, 57,315.64 and 14,511.80 is: 21,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.80 : 57,315.64 = 14,511.80 : x
  2. Step 2: Convert to fraction form
    38,203.80/57,315.64 = 14,511.80/x
  3. Step 3: Cross multiply
    38,203.80x = 57,315.64 × 14,511.80
  4. Step 4: Simplify right side
    38,203.80x = 831,753,104.55
  5. Step 5: Solve for x
    x = 831,753,104.55/38,203.80
  6. Step 6: Final answer
    x = 21,771.48

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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.