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Finding the Fourth Proportional to 3,709.70, 5,542.75 and 3,580.49

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Solution

The fourth proportional to 3,709.70, 5,542.75 and 3,580.49 is: 5,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.70 : 5,542.75 = 3,580.49 : x
  2. Step 2: Convert to fraction form
    3,709.70/5,542.75 = 3,580.49/x
  3. Step 3: Cross multiply
    3,709.70x = 5,542.75 × 3,580.49
  4. Step 4: Simplify right side
    3,709.70x = 19,845,760.95
  5. Step 5: Solve for x
    x = 19,845,760.95/3,709.70
  6. Step 6: Final answer
    x = 5,349.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.