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Finding the Fourth Proportional to 7,778.01, 11,662.54 and 2,849.16

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Solution

The fourth proportional to 7,778.01, 11,662.54 and 2,849.16 is: 4,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.01 : 11,662.54 = 2,849.16 : x
  2. Step 2: Convert to fraction form
    7,778.01/11,662.54 = 2,849.16/x
  3. Step 3: Cross multiply
    7,778.01x = 11,662.54 × 2,849.16
  4. Step 4: Simplify right side
    7,778.01x = 33,228,442.47
  5. Step 5: Solve for x
    x = 33,228,442.47/7,778.01
  6. Step 6: Final answer
    x = 4,272.10

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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.