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Finding the Fourth Proportional to 2,707.59, 3,735.89 and 1,645.90

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Solution

The fourth proportional to 2,707.59, 3,735.89 and 1,645.90 is: 2,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.59 : 3,735.89 = 1,645.90 : x
  2. Step 2: Convert to fraction form
    2,707.59/3,735.89 = 1,645.90/x
  3. Step 3: Cross multiply
    2,707.59x = 3,735.89 × 1,645.90
  4. Step 4: Simplify right side
    2,707.59x = 6,148,901.35
  5. Step 5: Solve for x
    x = 6,148,901.35/2,707.59
  6. Step 6: Final answer
    x = 2,270.99

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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.