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Finding the Fourth Proportional to 2,678.92, 3,696.64 and 1,499.77

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Solution

The fourth proportional to 2,678.92, 3,696.64 and 1,499.77 is: 2,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.92 : 3,696.64 = 1,499.77 : x
  2. Step 2: Convert to fraction form
    2,678.92/3,696.64 = 1,499.77/x
  3. Step 3: Cross multiply
    2,678.92x = 3,696.64 × 1,499.77
  4. Step 4: Simplify right side
    2,678.92x = 5,544,089.85
  5. Step 5: Solve for x
    x = 5,544,089.85/2,678.92
  6. Step 6: Final answer
    x = 2,069.52

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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.