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Finding the Fourth Proportional to 2,696.88, 4,046.58 and 1,397.64

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Solution

The fourth proportional to 2,696.88, 4,046.58 and 1,397.64 is: 2,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.88 : 4,046.58 = 1,397.64 : x
  2. Step 2: Convert to fraction form
    2,696.88/4,046.58 = 1,397.64/x
  3. Step 3: Cross multiply
    2,696.88x = 4,046.58 × 1,397.64
  4. Step 4: Simplify right side
    2,696.88x = 5,655,662.07
  5. Step 5: Solve for x
    x = 5,655,662.07/2,696.88
  6. Step 6: Final answer
    x = 2,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.