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Finding the Fourth Proportional to 7,773.78, 11,656.39 and 5,311.38

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Solution

The fourth proportional to 7,773.78, 11,656.39 and 5,311.38 is: 7,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.78 : 11,656.39 = 5,311.38 : x
  2. Step 2: Convert to fraction form
    7,773.78/11,656.39 = 5,311.38/x
  3. Step 3: Cross multiply
    7,773.78x = 11,656.39 × 5,311.38
  4. Step 4: Simplify right side
    7,773.78x = 61,911,516.72
  5. Step 5: Solve for x
    x = 61,911,516.72/7,773.78
  6. Step 6: Final answer
    x = 7,964.15

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1.5x scale

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.