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Finding the Fourth Proportional to 2,164.88, 3,243 and 1,645.76

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Solution

The fourth proportional to 2,164.88, 3,243 and 1,645.76 is: 2,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.88 : 3,243 = 1,645.76 : x
  2. Step 2: Convert to fraction form
    2,164.88/3,243 = 1,645.76/x
  3. Step 3: Cross multiply
    2,164.88x = 3,243 × 1,645.76
  4. Step 4: Simplify right side
    2,164.88x = 5,337,199.68
  5. Step 5: Solve for x
    x = 5,337,199.68/2,164.88
  6. Step 6: Final answer
    x = 2,465.36

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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.