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Finding the Fourth Proportional to 7,658.78, 11,482.81 and 3,911.70

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Solution

The fourth proportional to 7,658.78, 11,482.81 and 3,911.70 is: 5,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.78 : 11,482.81 = 3,911.70 : x
  2. Step 2: Convert to fraction form
    7,658.78/11,482.81 = 3,911.70/x
  3. Step 3: Cross multiply
    7,658.78x = 11,482.81 × 3,911.70
  4. Step 4: Simplify right side
    7,658.78x = 44,917,288.32
  5. Step 5: Solve for x
    x = 44,917,288.32/7,658.78
  6. Step 6: Final answer
    x = 5,864.81

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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.