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Finding the Fourth Proportional to 8,445.31, 11,654.50 and 4,719.31

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Solution

The fourth proportional to 8,445.31, 11,654.50 and 4,719.31 is: 6,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.31 : 11,654.50 = 4,719.31 : x
  2. Step 2: Convert to fraction form
    8,445.31/11,654.50 = 4,719.31/x
  3. Step 3: Cross multiply
    8,445.31x = 11,654.50 × 4,719.31
  4. Step 4: Simplify right side
    8,445.31x = 55,001,198.40
  5. Step 5: Solve for x
    x = 55,001,198.40/8,445.31
  6. Step 6: Final answer
    x = 6,512.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.