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Finding the Fourth Proportional to 9,134, 12,604.92 and 4,942.28

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Solution

The fourth proportional to 9,134, 12,604.92 and 4,942.28 is: 6,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134 : 12,604.92 = 4,942.28 : x
  2. Step 2: Convert to fraction form
    9,134/12,604.92 = 4,942.28/x
  3. Step 3: Cross multiply
    9,134x = 12,604.92 × 4,942.28
  4. Step 4: Simplify right side
    9,134x = 62,297,044.02
  5. Step 5: Solve for x
    x = 62,297,044.02/9,134
  6. Step 6: Final answer
    x = 6,820.35

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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.