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Finding the Fourth Proportional to 5,644.50, 7,789.41 and 3,160.50

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Solution

The fourth proportional to 5,644.50, 7,789.41 and 3,160.50 is: 4,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.50 : 7,789.41 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    5,644.50/7,789.41 = 3,160.50/x
  3. Step 3: Cross multiply
    5,644.50x = 7,789.41 × 3,160.50
  4. Step 4: Simplify right side
    5,644.50x = 24,618,430.31
  5. Step 5: Solve for x
    x = 24,618,430.31/5,644.50
  6. Step 6: Final answer
    x = 4,361.49

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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.