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Finding the Fourth Proportional to 2,966.64, 4,093.92 and 1,640.40

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Solution

The fourth proportional to 2,966.64, 4,093.92 and 1,640.40 is: 2,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.64 : 4,093.92 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    2,966.64/4,093.92 = 1,640.40/x
  3. Step 3: Cross multiply
    2,966.64x = 4,093.92 × 1,640.40
  4. Step 4: Simplify right side
    2,966.64x = 6,715,666.37
  5. Step 5: Solve for x
    x = 6,715,666.37/2,966.64
  6. Step 6: Final answer
    x = 2,263.73

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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.