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Finding the Fourth Proportional to 7,772, 11,658.40 and 7,378.32

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Solution

The fourth proportional to 7,772, 11,658.40 and 7,378.32 is: 11,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 11,658.40 = 7,378.32 : x
  2. Step 2: Convert to fraction form
    7,772/11,658.40 = 7,378.32/x
  3. Step 3: Cross multiply
    7,772x = 11,658.40 × 7,378.32
  4. Step 4: Simplify right side
    7,772x = 86,019,405.89
  5. Step 5: Solve for x
    x = 86,019,405.89/7,772
  6. Step 6: Final answer
    x = 11,067.86

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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.