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Finding the Fourth Proportional to 2,640.74, 3,643.77 and 1,578.93

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Solution

The fourth proportional to 2,640.74, 3,643.77 and 1,578.93 is: 2,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.74 : 3,643.77 = 1,578.93 : x
  2. Step 2: Convert to fraction form
    2,640.74/3,643.77 = 1,578.93/x
  3. Step 3: Cross multiply
    2,640.74x = 3,643.77 × 1,578.93
  4. Step 4: Simplify right side
    2,640.74x = 5,753,241.14
  5. Step 5: Solve for x
    x = 5,753,241.14/2,640.74
  6. Step 6: Final answer
    x = 2,178.65

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1.5x scale

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.