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Finding the Fourth Proportional to 7,656.66, 11,488.26 and 3,961.50

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Solution

The fourth proportional to 7,656.66, 11,488.26 and 3,961.50 is: 5,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.66 : 11,488.26 = 3,961.50 : x
  2. Step 2: Convert to fraction form
    7,656.66/11,488.26 = 3,961.50/x
  3. Step 3: Cross multiply
    7,656.66x = 11,488.26 × 3,961.50
  4. Step 4: Simplify right side
    7,656.66x = 45,510,741.99
  5. Step 5: Solve for x
    x = 45,510,741.99/7,656.66
  6. Step 6: Final answer
    x = 5,943.94

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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.