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Finding the Fourth Proportional to 3,959.76, 5,948.28 and 2,421.84

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Solution

The fourth proportional to 3,959.76, 5,948.28 and 2,421.84 is: 3,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.76 : 5,948.28 = 2,421.84 : x
  2. Step 2: Convert to fraction form
    3,959.76/5,948.28 = 2,421.84/x
  3. Step 3: Cross multiply
    3,959.76x = 5,948.28 × 2,421.84
  4. Step 4: Simplify right side
    3,959.76x = 14,405,782.44
  5. Step 5: Solve for x
    x = 14,405,782.44/3,959.76
  6. Step 6: Final answer
    x = 3,638.04

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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.