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Finding the Fourth Proportional to 1,681.64, 2,319 and 1,517.56

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Solution

The fourth proportional to 1,681.64, 2,319 and 1,517.56 is: 2,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.64 : 2,319 = 1,517.56 : x
  2. Step 2: Convert to fraction form
    1,681.64/2,319 = 1,517.56/x
  3. Step 3: Cross multiply
    1,681.64x = 2,319 × 1,517.56
  4. Step 4: Simplify right side
    1,681.64x = 3,519,221.64
  5. Step 5: Solve for x
    x = 3,519,221.64/1,681.64
  6. Step 6: Final answer
    x = 2,092.73

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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.