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Finding the Fourth Proportional to 2,670.65, 3,684.16 and 1,727.25

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Solution

The fourth proportional to 2,670.65, 3,684.16 and 1,727.25 is: 2,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.65 : 3,684.16 = 1,727.25 : x
  2. Step 2: Convert to fraction form
    2,670.65/3,684.16 = 1,727.25/x
  3. Step 3: Cross multiply
    2,670.65x = 3,684.16 × 1,727.25
  4. Step 4: Simplify right side
    2,670.65x = 6,363,465.36
  5. Step 5: Solve for x
    x = 6,363,465.36/2,670.65
  6. Step 6: Final answer
    x = 2,382.74

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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.