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Finding the Fourth Proportional to 4,782.78, 7,132.32 and 4,739.04

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Solution

The fourth proportional to 4,782.78, 7,132.32 and 4,739.04 is: 7,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.78 : 7,132.32 = 4,739.04 : x
  2. Step 2: Convert to fraction form
    4,782.78/7,132.32 = 4,739.04/x
  3. Step 3: Cross multiply
    4,782.78x = 7,132.32 × 4,739.04
  4. Step 4: Simplify right side
    4,782.78x = 33,800,349.77
  5. Step 5: Solve for x
    x = 33,800,349.77/4,782.78
  6. Step 6: Final answer
    x = 7,067.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.