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Finding the Fourth Proportional to 2,878.63, 4,317.47 and 798.84

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Solution

The fourth proportional to 2,878.63, 4,317.47 and 798.84 is: 1,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.63 : 4,317.47 = 798.84 : x
  2. Step 2: Convert to fraction form
    2,878.63/4,317.47 = 798.84/x
  3. Step 3: Cross multiply
    2,878.63x = 4,317.47 × 798.84
  4. Step 4: Simplify right side
    2,878.63x = 3,448,963.74
  5. Step 5: Solve for x
    x = 3,448,963.74/2,878.63
  6. Step 6: Final answer
    x = 1,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.