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Finding the Fourth Proportional to 1,796.49, 2,688.53 and 1,642.68

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Solution

The fourth proportional to 1,796.49, 2,688.53 and 1,642.68 is: 2,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.49 : 2,688.53 = 1,642.68 : x
  2. Step 2: Convert to fraction form
    1,796.49/2,688.53 = 1,642.68/x
  3. Step 3: Cross multiply
    1,796.49x = 2,688.53 × 1,642.68
  4. Step 4: Simplify right side
    1,796.49x = 4,416,386.25
  5. Step 5: Solve for x
    x = 4,416,386.25/1,796.49
  6. Step 6: Final answer
    x = 2,458.34

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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.