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Finding the Fourth Proportional to 1,900, 2,621.94 and 1,060.66

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Solution

The fourth proportional to 1,900, 2,621.94 and 1,060.66 is: 1,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900 : 2,621.94 = 1,060.66 : x
  2. Step 2: Convert to fraction form
    1,900/2,621.94 = 1,060.66/x
  3. Step 3: Cross multiply
    1,900x = 2,621.94 × 1,060.66
  4. Step 4: Simplify right side
    1,900x = 2,780,986.88
  5. Step 5: Solve for x
    x = 2,780,986.88/1,900
  6. Step 6: Final answer
    x = 1,463.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.