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Finding the Fourth Proportional to 6,860, 10,276.85 and 4,078.25

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Solution

The fourth proportional to 6,860, 10,276.85 and 4,078.25 is: 6,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860 : 10,276.85 = 4,078.25 : x
  2. Step 2: Convert to fraction form
    6,860/10,276.85 = 4,078.25/x
  3. Step 3: Cross multiply
    6,860x = 10,276.85 × 4,078.25
  4. Step 4: Simplify right side
    6,860x = 41,911,563.51
  5. Step 5: Solve for x
    x = 41,911,563.51/6,860
  6. Step 6: Final answer
    x = 6,109.56

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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.