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Finding the Fourth Proportional to 1,699.27, 2,342.04 and 1,383.86

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Solution

The fourth proportional to 1,699.27, 2,342.04 and 1,383.86 is: 1,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.27 : 2,342.04 = 1,383.86 : x
  2. Step 2: Convert to fraction form
    1,699.27/2,342.04 = 1,383.86/x
  3. Step 3: Cross multiply
    1,699.27x = 2,342.04 × 1,383.86
  4. Step 4: Simplify right side
    1,699.27x = 3,241,055.47
  5. Step 5: Solve for x
    x = 3,241,055.47/1,699.27
  6. Step 6: Final answer
    x = 1,907.32

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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.