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Finding the Fourth Proportional to 3,789.74, 5,685.21 and 1,156.64

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Solution

The fourth proportional to 3,789.74, 5,685.21 and 1,156.64 is: 1,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.74 : 5,685.21 = 1,156.64 : x
  2. Step 2: Convert to fraction form
    3,789.74/5,685.21 = 1,156.64/x
  3. Step 3: Cross multiply
    3,789.74x = 5,685.21 × 1,156.64
  4. Step 4: Simplify right side
    3,789.74x = 6,575,735.51
  5. Step 5: Solve for x
    x = 6,575,735.51/3,789.74
  6. Step 6: Final answer
    x = 1,735.14

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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.