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Finding the Fourth Proportional to 1,776.86, 2,678.82 and 1,651.58

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Solution

The fourth proportional to 1,776.86, 2,678.82 and 1,651.58 is: 2,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.86 : 2,678.82 = 1,651.58 : x
  2. Step 2: Convert to fraction form
    1,776.86/2,678.82 = 1,651.58/x
  3. Step 3: Cross multiply
    1,776.86x = 2,678.82 × 1,651.58
  4. Step 4: Simplify right side
    1,776.86x = 4,424,285.54
  5. Step 5: Solve for x
    x = 4,424,285.54/1,776.86
  6. Step 6: Final answer
    x = 2,489.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.