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Finding the Fourth Proportional to 35,220.80, 52,874.40 and 19,438.40

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Solution

The fourth proportional to 35,220.80, 52,874.40 and 19,438.40 is: 29,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220.80 : 52,874.40 = 19,438.40 : x
  2. Step 2: Convert to fraction form
    35,220.80/52,874.40 = 19,438.40/x
  3. Step 3: Cross multiply
    35,220.80x = 52,874.40 × 19,438.40
  4. Step 4: Simplify right side
    35,220.80x = 1,027,793,736.96
  5. Step 5: Solve for x
    x = 1,027,793,736.96/35,220.80
  6. Step 6: Final answer
    x = 29,181.44

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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.