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Finding the Fourth Proportional to 3,412.60, 4,709.22 and 1,920.52

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Solution

The fourth proportional to 3,412.60, 4,709.22 and 1,920.52 is: 2,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.60 : 4,709.22 = 1,920.52 : x
  2. Step 2: Convert to fraction form
    3,412.60/4,709.22 = 1,920.52/x
  3. Step 3: Cross multiply
    3,412.60x = 4,709.22 × 1,920.52
  4. Step 4: Simplify right side
    3,412.60x = 9,044,151.19
  5. Step 5: Solve for x
    x = 9,044,151.19/3,412.60
  6. Step 6: Final answer
    x = 2,650.22

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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.