Home / 5,103.86-7,654.10-1,983.64

Finding the Fourth Proportional to 5,103.86, 7,654.10 and 1,983.64

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Solution

The fourth proportional to 5,103.86, 7,654.10 and 1,983.64 is: 2,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.86 : 7,654.10 = 1,983.64 : x
  2. Step 2: Convert to fraction form
    5,103.86/7,654.10 = 1,983.64/x
  3. Step 3: Cross multiply
    5,103.86x = 7,654.10 × 1,983.64
  4. Step 4: Simplify right side
    5,103.86x = 15,182,978.92
  5. Step 5: Solve for x
    x = 15,182,978.92/5,103.86
  6. Step 6: Final answer
    x = 2,974.80

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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.