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Finding the Fourth Proportional to 12,892, 19,325.04 and 6,654.64

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Solution

The fourth proportional to 12,892, 19,325.04 and 6,654.64 is: 9,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892 : 19,325.04 = 6,654.64 : x
  2. Step 2: Convert to fraction form
    12,892/19,325.04 = 6,654.64/x
  3. Step 3: Cross multiply
    12,892x = 19,325.04 × 6,654.64
  4. Step 4: Simplify right side
    12,892x = 128,601,184.19
  5. Step 5: Solve for x
    x = 128,601,184.19/12,892
  6. Step 6: Final answer
    x = 9,975.27

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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.