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Finding the Fourth Proportional to 3,197.23, 4,412.23 and 1,780.92

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Solution

The fourth proportional to 3,197.23, 4,412.23 and 1,780.92 is: 2,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.23 : 4,412.23 = 1,780.92 : x
  2. Step 2: Convert to fraction form
    3,197.23/4,412.23 = 1,780.92/x
  3. Step 3: Cross multiply
    3,197.23x = 4,412.23 × 1,780.92
  4. Step 4: Simplify right side
    3,197.23x = 7,857,824.20
  5. Step 5: Solve for x
    x = 7,857,824.20/3,197.23
  6. Step 6: Final answer
    x = 2,457.70

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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.