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Finding the Fourth Proportional to 1,725.09, 2,380.21 and 978.88

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Solution

The fourth proportional to 1,725.09, 2,380.21 and 978.88 is: 1,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.09 : 2,380.21 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,725.09/2,380.21 = 978.88/x
  3. Step 3: Cross multiply
    1,725.09x = 2,380.21 × 978.88
  4. Step 4: Simplify right side
    1,725.09x = 2,329,930.51
  5. Step 5: Solve for x
    x = 2,329,930.51/1,725.09
  6. Step 6: Final answer
    x = 1,350.62

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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.