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Finding the Fourth Proportional to 1,786.86, 2,464.71 and 1,288.71

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Solution

The fourth proportional to 1,786.86, 2,464.71 and 1,288.71 is: 1,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.86 : 2,464.71 = 1,288.71 : x
  2. Step 2: Convert to fraction form
    1,786.86/2,464.71 = 1,288.71/x
  3. Step 3: Cross multiply
    1,786.86x = 2,464.71 × 1,288.71
  4. Step 4: Simplify right side
    1,786.86x = 3,176,284.10
  5. Step 5: Solve for x
    x = 3,176,284.10/1,786.86
  6. Step 6: Final answer
    x = 1,777.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.