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Finding the Fourth Proportional to 7,776, 11,665.05 and 2,847.96

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Solution

The fourth proportional to 7,776, 11,665.05 and 2,847.96 is: 4,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 11,665.05 = 2,847.96 : x
  2. Step 2: Convert to fraction form
    7,776/11,665.05 = 2,847.96/x
  3. Step 3: Cross multiply
    7,776x = 11,665.05 × 2,847.96
  4. Step 4: Simplify right side
    7,776x = 33,221,595.80
  5. Step 5: Solve for x
    x = 33,221,595.80/7,776
  6. Step 6: Final answer
    x = 4,272.32

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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.