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Finding the Fourth Proportional to 3,492.72, 4,819.96 and 1,920.81

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Solution

The fourth proportional to 3,492.72, 4,819.96 and 1,920.81 is: 2,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.72 : 4,819.96 = 1,920.81 : x
  2. Step 2: Convert to fraction form
    3,492.72/4,819.96 = 1,920.81/x
  3. Step 3: Cross multiply
    3,492.72x = 4,819.96 × 1,920.81
  4. Step 4: Simplify right side
    3,492.72x = 9,258,237.04
  5. Step 5: Solve for x
    x = 9,258,237.04/3,492.72
  6. Step 6: Final answer
    x = 2,650.72

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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.