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Finding the Fourth Proportional to 2,678.90, 3,696.98 and 1,499.97

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Solution

The fourth proportional to 2,678.90, 3,696.98 and 1,499.97 is: 2,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.90 : 3,696.98 = 1,499.97 : x
  2. Step 2: Convert to fraction form
    2,678.90/3,696.98 = 1,499.97/x
  3. Step 3: Cross multiply
    2,678.90x = 3,696.98 × 1,499.97
  4. Step 4: Simplify right side
    2,678.90x = 5,545,365.45
  5. Step 5: Solve for x
    x = 5,545,365.45/2,678.90
  6. Step 6: Final answer
    x = 2,070.02

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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.