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Finding the Fourth Proportional to 3,221.78, 4,446.63 and 1,895.40

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Solution

The fourth proportional to 3,221.78, 4,446.63 and 1,895.40 is: 2,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.78 : 4,446.63 = 1,895.40 : x
  2. Step 2: Convert to fraction form
    3,221.78/4,446.63 = 1,895.40/x
  3. Step 3: Cross multiply
    3,221.78x = 4,446.63 × 1,895.40
  4. Step 4: Simplify right side
    3,221.78x = 8,428,142.50
  5. Step 5: Solve for x
    x = 8,428,142.50/3,221.78
  6. Step 6: Final answer
    x = 2,615.99

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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.