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Finding the Fourth Proportional to 3,492.78, 4,819.62 and 1,920.57

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Solution

The fourth proportional to 3,492.78, 4,819.62 and 1,920.57 is: 2,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.78 : 4,819.62 = 1,920.57 : x
  2. Step 2: Convert to fraction form
    3,492.78/4,819.62 = 1,920.57/x
  3. Step 3: Cross multiply
    3,492.78x = 4,819.62 × 1,920.57
  4. Step 4: Simplify right side
    3,492.78x = 9,256,417.58
  5. Step 5: Solve for x
    x = 9,256,417.58/3,492.78
  6. Step 6: Final answer
    x = 2,650.16

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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.