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Finding the Fourth Proportional to 3,492.51, 4,819.77 and 1,920.66

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Solution

The fourth proportional to 3,492.51, 4,819.77 and 1,920.66 is: 2,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.51 : 4,819.77 = 1,920.66 : x
  2. Step 2: Convert to fraction form
    3,492.51/4,819.77 = 1,920.66/x
  3. Step 3: Cross multiply
    3,492.51x = 4,819.77 × 1,920.66
  4. Step 4: Simplify right side
    3,492.51x = 9,257,139.45
  5. Step 5: Solve for x
    x = 9,257,139.45/3,492.51
  6. Step 6: Final answer
    x = 2,650.57

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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.