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Finding the Fourth Proportional to 7,394, 11,072.68 and 5,736.72

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Solution

The fourth proportional to 7,394, 11,072.68 and 5,736.72 is: 8,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394 : 11,072.68 = 5,736.72 : x
  2. Step 2: Convert to fraction form
    7,394/11,072.68 = 5,736.72/x
  3. Step 3: Cross multiply
    7,394x = 11,072.68 × 5,736.72
  4. Step 4: Simplify right side
    7,394x = 63,520,864.81
  5. Step 5: Solve for x
    x = 63,520,864.81/7,394
  6. Step 6: Final answer
    x = 8,590.87

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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.