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Finding the Fourth Proportional to 2,966.34, 4,093.20 and 1,639.87

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Solution

The fourth proportional to 2,966.34, 4,093.20 and 1,639.87 is: 2,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.34 : 4,093.20 = 1,639.87 : x
  2. Step 2: Convert to fraction form
    2,966.34/4,093.20 = 1,639.87/x
  3. Step 3: Cross multiply
    2,966.34x = 4,093.20 × 1,639.87
  4. Step 4: Simplify right side
    2,966.34x = 6,712,305.65
  5. Step 5: Solve for x
    x = 6,712,305.65/2,966.34
  6. Step 6: Final answer
    x = 2,262.82

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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.