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Finding the Fourth Proportional to 7,859.30, 11,791.48 and 2,929.64

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Solution

The fourth proportional to 7,859.30, 11,791.48 and 2,929.64 is: 4,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.30 : 11,791.48 = 2,929.64 : x
  2. Step 2: Convert to fraction form
    7,859.30/11,791.48 = 2,929.64/x
  3. Step 3: Cross multiply
    7,859.30x = 11,791.48 × 2,929.64
  4. Step 4: Simplify right side
    7,859.30x = 34,544,791.47
  5. Step 5: Solve for x
    x = 34,544,791.47/7,859.30
  6. Step 6: Final answer
    x = 4,395.40

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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.