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Finding the Fourth Proportional to 30,587.90, 45,893.39 and 20,819.30

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Solution

The fourth proportional to 30,587.90, 45,893.39 and 20,819.30 is: 31,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.90 : 45,893.39 = 20,819.30 : x
  2. Step 2: Convert to fraction form
    30,587.90/45,893.39 = 20,819.30/x
  3. Step 3: Cross multiply
    30,587.90x = 45,893.39 × 20,819.30
  4. Step 4: Simplify right side
    30,587.90x = 955,467,920.86
  5. Step 5: Solve for x
    x = 955,467,920.86/30,587.90
  6. Step 6: Final answer
    x = 31,236.80

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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.