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Finding the Fourth Proportional to 2,263.43, 3,396.11 and 947.49

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Solution

The fourth proportional to 2,263.43, 3,396.11 and 947.49 is: 1,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.43 : 3,396.11 = 947.49 : x
  2. Step 2: Convert to fraction form
    2,263.43/3,396.11 = 947.49/x
  3. Step 3: Cross multiply
    2,263.43x = 3,396.11 × 947.49
  4. Step 4: Simplify right side
    2,263.43x = 3,217,788.83
  5. Step 5: Solve for x
    x = 3,217,788.83/2,263.43
  6. Step 6: Final answer
    x = 1,421.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.