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Finding the Fourth Proportional to 3,492.38, 4,819.50 and 1,920.53

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Solution

The fourth proportional to 3,492.38, 4,819.50 and 1,920.53 is: 2,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.38 : 4,819.50 = 1,920.53 : x
  2. Step 2: Convert to fraction form
    3,492.38/4,819.50 = 1,920.53/x
  3. Step 3: Cross multiply
    3,492.38x = 4,819.50 × 1,920.53
  4. Step 4: Simplify right side
    3,492.38x = 9,255,970.24
  5. Step 5: Solve for x
    x = 9,255,970.24/3,492.38
  6. Step 6: Final answer
    x = 2,650.34

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1.5x scale

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.