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Finding the Fourth Proportional to 1,764.62, 2,636.79 and 1,345.85

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Solution

The fourth proportional to 1,764.62, 2,636.79 and 1,345.85 is: 2,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.62 : 2,636.79 = 1,345.85 : x
  2. Step 2: Convert to fraction form
    1,764.62/2,636.79 = 1,345.85/x
  3. Step 3: Cross multiply
    1,764.62x = 2,636.79 × 1,345.85
  4. Step 4: Simplify right side
    1,764.62x = 3,548,710.64
  5. Step 5: Solve for x
    x = 3,548,710.64/1,764.62
  6. Step 6: Final answer
    x = 2,011.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.