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Finding the Fourth Proportional to 1,337.63, 1,996.12 and 1,175.65

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Solution

The fourth proportional to 1,337.63, 1,996.12 and 1,175.65 is: 1,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.63 : 1,996.12 = 1,175.65 : x
  2. Step 2: Convert to fraction form
    1,337.63/1,996.12 = 1,175.65/x
  3. Step 3: Cross multiply
    1,337.63x = 1,996.12 × 1,175.65
  4. Step 4: Simplify right side
    1,337.63x = 2,346,728.50
  5. Step 5: Solve for x
    x = 2,346,728.50/1,337.63
  6. Step 6: Final answer
    x = 1,754.39

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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.