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Finding the Fourth Proportional to 20,297, 30,445.56 and 7,985

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Solution

The fourth proportional to 20,297, 30,445.56 and 7,985 is: 11,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297 : 30,445.56 = 7,985 : x
  2. Step 2: Convert to fraction form
    20,297/30,445.56 = 7,985/x
  3. Step 3: Cross multiply
    20,297x = 30,445.56 × 7,985
  4. Step 4: Simplify right side
    20,297x = 243,107,796.60
  5. Step 5: Solve for x
    x = 243,107,796.60/20,297
  6. Step 6: Final answer
    x = 11,977.52

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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.