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Finding the Fourth Proportional to 5,709.15, 7,878 and 3,472.23

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Solution

The fourth proportional to 5,709.15, 7,878 and 3,472.23 is: 4,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.15 : 7,878 = 3,472.23 : x
  2. Step 2: Convert to fraction form
    5,709.15/7,878 = 3,472.23/x
  3. Step 3: Cross multiply
    5,709.15x = 7,878 × 3,472.23
  4. Step 4: Simplify right side
    5,709.15x = 27,354,227.94
  5. Step 5: Solve for x
    x = 27,354,227.94/5,709.15
  6. Step 6: Final answer
    x = 4,791.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.