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Finding the Fourth Proportional to 3,078.51, 4,617.64 and 857.32

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Solution

The fourth proportional to 3,078.51, 4,617.64 and 857.32 is: 1,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.51 : 4,617.64 = 857.32 : x
  2. Step 2: Convert to fraction form
    3,078.51/4,617.64 = 857.32/x
  3. Step 3: Cross multiply
    3,078.51x = 4,617.64 × 857.32
  4. Step 4: Simplify right side
    3,078.51x = 3,958,784.65
  5. Step 5: Solve for x
    x = 3,958,784.65/3,078.51
  6. Step 6: Final answer
    x = 1,285.94

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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.