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Finding the Fourth Proportional to 12,068.64, 16,654.96 and 6,764

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Solution

The fourth proportional to 12,068.64, 16,654.96 and 6,764 is: 9,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068.64 : 16,654.96 = 6,764 : x
  2. Step 2: Convert to fraction form
    12,068.64/16,654.96 = 6,764/x
  3. Step 3: Cross multiply
    12,068.64x = 16,654.96 × 6,764
  4. Step 4: Simplify right side
    12,068.64x = 112,654,149.44
  5. Step 5: Solve for x
    x = 112,654,149.44/12,068.64
  6. Step 6: Final answer
    x = 9,334.45

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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.