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Finding the Fourth Proportional to 2,882.74, 3,978.04 and 1,623.77

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Solution

The fourth proportional to 2,882.74, 3,978.04 and 1,623.77 is: 2,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.74 : 3,978.04 = 1,623.77 : x
  2. Step 2: Convert to fraction form
    2,882.74/3,978.04 = 1,623.77/x
  3. Step 3: Cross multiply
    2,882.74x = 3,978.04 × 1,623.77
  4. Step 4: Simplify right side
    2,882.74x = 6,459,422.01
  5. Step 5: Solve for x
    x = 6,459,422.01/2,882.74
  6. Step 6: Final answer
    x = 2,240.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.