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Finding the Fourth Proportional to 2,521.86, 3,782.48 and 673.12

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Solution

The fourth proportional to 2,521.86, 3,782.48 and 673.12 is: 1,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.86 : 3,782.48 = 673.12 : x
  2. Step 2: Convert to fraction form
    2,521.86/3,782.48 = 673.12/x
  3. Step 3: Cross multiply
    2,521.86x = 3,782.48 × 673.12
  4. Step 4: Simplify right side
    2,521.86x = 2,546,062.94
  5. Step 5: Solve for x
    x = 2,546,062.94/2,521.86
  6. Step 6: Final answer
    x = 1,009.60

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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.