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Finding the Fourth Proportional to 20,567.62, 30,845.05 and 7,418.28

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Solution

The fourth proportional to 20,567.62, 30,845.05 and 7,418.28 is: 11,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.62 : 30,845.05 = 7,418.28 : x
  2. Step 2: Convert to fraction form
    20,567.62/30,845.05 = 7,418.28/x
  3. Step 3: Cross multiply
    20,567.62x = 30,845.05 × 7,418.28
  4. Step 4: Simplify right side
    20,567.62x = 228,817,180.42
  5. Step 5: Solve for x
    x = 228,817,180.42/20,567.62
  6. Step 6: Final answer
    x = 11,125.12

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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.