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Finding the Fourth Proportional to 38,503.86, 57,774.15 and 20,973.30

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Solution

The fourth proportional to 38,503.86, 57,774.15 and 20,973.30 is: 31,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.86 : 57,774.15 = 20,973.30 : x
  2. Step 2: Convert to fraction form
    38,503.86/57,774.15 = 20,973.30/x
  3. Step 3: Cross multiply
    38,503.86x = 57,774.15 × 20,973.30
  4. Step 4: Simplify right side
    38,503.86x = 1,211,714,747.51
  5. Step 5: Solve for x
    x = 1,211,714,747.51/38,503.86
  6. Step 6: Final answer
    x = 31,469.95

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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.