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Finding the Fourth Proportional to 3,390.52, 4,678.62 and 1,993

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Solution

The fourth proportional to 3,390.52, 4,678.62 and 1,993 is: 2,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.52 : 4,678.62 = 1,993 : x
  2. Step 2: Convert to fraction form
    3,390.52/4,678.62 = 1,993/x
  3. Step 3: Cross multiply
    3,390.52x = 4,678.62 × 1,993
  4. Step 4: Simplify right side
    3,390.52x = 9,324,489.66
  5. Step 5: Solve for x
    x = 9,324,489.66/3,390.52
  6. Step 6: Final answer
    x = 2,750.17

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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.