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Finding the Fourth Proportional to 1,628.86, 2,247.87 and 965.86

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Solution

The fourth proportional to 1,628.86, 2,247.87 and 965.86 is: 1,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.86 : 2,247.87 = 965.86 : x
  2. Step 2: Convert to fraction form
    1,628.86/2,247.87 = 965.86/x
  3. Step 3: Cross multiply
    1,628.86x = 2,247.87 × 965.86
  4. Step 4: Simplify right side
    1,628.86x = 2,171,127.72
  5. Step 5: Solve for x
    x = 2,171,127.72/1,628.86
  6. Step 6: Final answer
    x = 1,332.91

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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.