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Finding the Fourth Proportional to 3,152.86, 4,729.22 and 780.91

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Solution

The fourth proportional to 3,152.86, 4,729.22 and 780.91 is: 1,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.86 : 4,729.22 = 780.91 : x
  2. Step 2: Convert to fraction form
    3,152.86/4,729.22 = 780.91/x
  3. Step 3: Cross multiply
    3,152.86x = 4,729.22 × 780.91
  4. Step 4: Simplify right side
    3,152.86x = 3,693,067.64
  5. Step 5: Solve for x
    x = 3,693,067.64/3,152.86
  6. Step 6: Final answer
    x = 1,171.34

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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.