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Finding the Fourth Proportional to 3,189.68, 4,402 and 1,792.64

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Solution

The fourth proportional to 3,189.68, 4,402 and 1,792.64 is: 2,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.68 : 4,402 = 1,792.64 : x
  2. Step 2: Convert to fraction form
    3,189.68/4,402 = 1,792.64/x
  3. Step 3: Cross multiply
    3,189.68x = 4,402 × 1,792.64
  4. Step 4: Simplify right side
    3,189.68x = 7,891,201.28
  5. Step 5: Solve for x
    x = 7,891,201.28/3,189.68
  6. Step 6: Final answer
    x = 2,473.98

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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.