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Finding the Fourth Proportional to 1,727.07, 2,578.07 and 1,598.58

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Solution

The fourth proportional to 1,727.07, 2,578.07 and 1,598.58 is: 2,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.07 : 2,578.07 = 1,598.58 : x
  2. Step 2: Convert to fraction form
    1,727.07/2,578.07 = 1,598.58/x
  3. Step 3: Cross multiply
    1,727.07x = 2,578.07 × 1,598.58
  4. Step 4: Simplify right side
    1,727.07x = 4,121,255.14
  5. Step 5: Solve for x
    x = 4,121,255.14/1,727.07
  6. Step 6: Final answer
    x = 2,386.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.