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Finding the Fourth Proportional to 1,930.47, 2,664.14 and 1,267.71

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Solution

The fourth proportional to 1,930.47, 2,664.14 and 1,267.71 is: 1,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.47 : 2,664.14 = 1,267.71 : x
  2. Step 2: Convert to fraction form
    1,930.47/2,664.14 = 1,267.71/x
  3. Step 3: Cross multiply
    1,930.47x = 2,664.14 × 1,267.71
  4. Step 4: Simplify right side
    1,930.47x = 3,377,356.92
  5. Step 5: Solve for x
    x = 3,377,356.92/1,930.47
  6. Step 6: Final answer
    x = 1,749.50

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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.