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Finding the Fourth Proportional to 5,221.68, 7,206.12 and 2,863.92

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Solution

The fourth proportional to 5,221.68, 7,206.12 and 2,863.92 is: 3,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.68 : 7,206.12 = 2,863.92 : x
  2. Step 2: Convert to fraction form
    5,221.68/7,206.12 = 2,863.92/x
  3. Step 3: Cross multiply
    5,221.68x = 7,206.12 × 2,863.92
  4. Step 4: Simplify right side
    5,221.68x = 20,637,751.19
  5. Step 5: Solve for x
    x = 20,637,751.19/5,221.68
  6. Step 6: Final answer
    x = 3,952.32

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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.