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Finding the Fourth Proportional to 11,654.40, 16,083.05 and 6,349.21

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Solution

The fourth proportional to 11,654.40, 16,083.05 and 6,349.21 is: 8,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.40 : 16,083.05 = 6,349.21 : x
  2. Step 2: Convert to fraction form
    11,654.40/16,083.05 = 6,349.21/x
  3. Step 3: Cross multiply
    11,654.40x = 16,083.05 × 6,349.21
  4. Step 4: Simplify right side
    11,654.40x = 102,114,607.79
  5. Step 5: Solve for x
    x = 102,114,607.79/11,654.40
  6. Step 6: Final answer
    x = 8,761.89

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1.5x scale

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.