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Finding the Fourth Proportional to 1,688.54, 2,529.11 and 1,392.73

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Solution

The fourth proportional to 1,688.54, 2,529.11 and 1,392.73 is: 2,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.54 : 2,529.11 = 1,392.73 : x
  2. Step 2: Convert to fraction form
    1,688.54/2,529.11 = 1,392.73/x
  3. Step 3: Cross multiply
    1,688.54x = 2,529.11 × 1,392.73
  4. Step 4: Simplify right side
    1,688.54x = 3,522,364.53
  5. Step 5: Solve for x
    x = 3,522,364.53/1,688.54
  6. Step 6: Final answer
    x = 2,086.05

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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.