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Finding the Fourth Proportional to 3,207.25, 4,426.05 and 1,965.25

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Solution

The fourth proportional to 3,207.25, 4,426.05 and 1,965.25 is: 2,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.25 : 4,426.05 = 1,965.25 : x
  2. Step 2: Convert to fraction form
    3,207.25/4,426.05 = 1,965.25/x
  3. Step 3: Cross multiply
    3,207.25x = 4,426.05 × 1,965.25
  4. Step 4: Simplify right side
    3,207.25x = 8,698,294.76
  5. Step 5: Solve for x
    x = 8,698,294.76/3,207.25
  6. Step 6: Final answer
    x = 2,712.07

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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.