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Finding the Fourth Proportional to 1,840.32, 2,754.72 and 1,704

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Solution

The fourth proportional to 1,840.32, 2,754.72 and 1,704 is: 2,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.32 : 2,754.72 = 1,704 : x
  2. Step 2: Convert to fraction form
    1,840.32/2,754.72 = 1,704/x
  3. Step 3: Cross multiply
    1,840.32x = 2,754.72 × 1,704
  4. Step 4: Simplify right side
    1,840.32x = 4,694,042.88
  5. Step 5: Solve for x
    x = 4,694,042.88/1,840.32
  6. Step 6: Final answer
    x = 2,550.67

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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.