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Finding the Fourth Proportional to 1,695.74, 2,339.80 and 996.86

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Solution

The fourth proportional to 1,695.74, 2,339.80 and 996.86 is: 1,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.74 : 2,339.80 = 996.86 : x
  2. Step 2: Convert to fraction form
    1,695.74/2,339.80 = 996.86/x
  3. Step 3: Cross multiply
    1,695.74x = 2,339.80 × 996.86
  4. Step 4: Simplify right side
    1,695.74x = 2,332,438.84
  5. Step 5: Solve for x
    x = 2,332,438.84/1,695.74
  6. Step 6: Final answer
    x = 1,375.47

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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.