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Finding the Fourth Proportional to 3,492.27, 4,819.20 and 1,920.35

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Solution

The fourth proportional to 3,492.27, 4,819.20 and 1,920.35 is: 2,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.27 : 4,819.20 = 1,920.35 : x
  2. Step 2: Convert to fraction form
    3,492.27/4,819.20 = 1,920.35/x
  3. Step 3: Cross multiply
    3,492.27x = 4,819.20 × 1,920.35
  4. Step 4: Simplify right side
    3,492.27x = 9,254,550.72
  5. Step 5: Solve for x
    x = 9,254,550.72/3,492.27
  6. Step 6: Final answer
    x = 2,650.01

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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.