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Finding the Fourth Proportional to 3,739.70, 5,606.96 and 1,658.57

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Solution

The fourth proportional to 3,739.70, 5,606.96 and 1,658.57 is: 2,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.70 : 5,606.96 = 1,658.57 : x
  2. Step 2: Convert to fraction form
    3,739.70/5,606.96 = 1,658.57/x
  3. Step 3: Cross multiply
    3,739.70x = 5,606.96 × 1,658.57
  4. Step 4: Simplify right side
    3,739.70x = 9,299,499.32
  5. Step 5: Solve for x
    x = 9,299,499.32/3,739.70
  6. Step 6: Final answer
    x = 2,486.69

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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.