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Finding the Fourth Proportional to 2,678.64, 3,696.66 and 1,499.64

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Solution

The fourth proportional to 2,678.64, 3,696.66 and 1,499.64 is: 2,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 3,696.66 = 1,499.64 : x
  2. Step 2: Convert to fraction form
    2,678.64/3,696.66 = 1,499.64/x
  3. Step 3: Cross multiply
    2,678.64x = 3,696.66 × 1,499.64
  4. Step 4: Simplify right side
    2,678.64x = 5,543,659.20
  5. Step 5: Solve for x
    x = 5,543,659.20/2,678.64
  6. Step 6: Final answer
    x = 2,069.58

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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.