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Finding the Fourth Proportional to 3,630.76, 5,446.20 and 1,902.76

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Solution

The fourth proportional to 3,630.76, 5,446.20 and 1,902.76 is: 2,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.76 : 5,446.20 = 1,902.76 : x
  2. Step 2: Convert to fraction form
    3,630.76/5,446.20 = 1,902.76/x
  3. Step 3: Cross multiply
    3,630.76x = 5,446.20 × 1,902.76
  4. Step 4: Simplify right side
    3,630.76x = 10,362,811.51
  5. Step 5: Solve for x
    x = 10,362,811.51/3,630.76
  6. Step 6: Final answer
    x = 2,854.17

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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.