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Finding the Fourth Proportional to 1,681.97, 2,321.37 and 1,009.82

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Solution

The fourth proportional to 1,681.97, 2,321.37 and 1,009.82 is: 1,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.97 : 2,321.37 = 1,009.82 : x
  2. Step 2: Convert to fraction form
    1,681.97/2,321.37 = 1,009.82/x
  3. Step 3: Cross multiply
    1,681.97x = 2,321.37 × 1,009.82
  4. Step 4: Simplify right side
    1,681.97x = 2,344,169.13
  5. Step 5: Solve for x
    x = 2,344,169.13/1,681.97
  6. Step 6: Final answer
    x = 1,393.70

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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.