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Finding the Fourth Proportional to 6,256, 9,387.24 and 3,178

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Solution

The fourth proportional to 6,256, 9,387.24 and 3,178 is: 4,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256 : 9,387.24 = 3,178 : x
  2. Step 2: Convert to fraction form
    6,256/9,387.24 = 3,178/x
  3. Step 3: Cross multiply
    6,256x = 9,387.24 × 3,178
  4. Step 4: Simplify right side
    6,256x = 29,832,648.72
  5. Step 5: Solve for x
    x = 29,832,648.72/6,256
  6. Step 6: Final answer
    x = 4,768.65

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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.