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Finding the Fourth Proportional to 7,856, 11,754.72 and 4,920.64

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Solution

The fourth proportional to 7,856, 11,754.72 and 4,920.64 is: 7,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 11,754.72 = 4,920.64 : x
  2. Step 2: Convert to fraction form
    7,856/11,754.72 = 4,920.64/x
  3. Step 3: Cross multiply
    7,856x = 11,754.72 × 4,920.64
  4. Step 4: Simplify right side
    7,856x = 57,840,745.42
  5. Step 5: Solve for x
    x = 57,840,745.42/7,856
  6. Step 6: Final answer
    x = 7,362.62

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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.