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Finding the Fourth Proportional to 2,165, 2,988.06 and 1,640.12

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Solution

The fourth proportional to 2,165, 2,988.06 and 1,640.12 is: 2,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 2,988.06 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    2,165/2,988.06 = 1,640.12/x
  3. Step 3: Cross multiply
    2,165x = 2,988.06 × 1,640.12
  4. Step 4: Simplify right side
    2,165x = 4,900,776.97
  5. Step 5: Solve for x
    x = 4,900,776.97/2,165
  6. Step 6: Final answer
    x = 2,263.64

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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.