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Finding the Fourth Proportional to 5,238.78, 7,847.78 and 3,159.34

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Solution

The fourth proportional to 5,238.78, 7,847.78 and 3,159.34 is: 4,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.78 : 7,847.78 = 3,159.34 : x
  2. Step 2: Convert to fraction form
    5,238.78/7,847.78 = 3,159.34/x
  3. Step 3: Cross multiply
    5,238.78x = 7,847.78 × 3,159.34
  4. Step 4: Simplify right side
    5,238.78x = 24,793,805.27
  5. Step 5: Solve for x
    x = 24,793,805.27/5,238.78
  6. Step 6: Final answer
    x = 4,732.74

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1.5x scale

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.