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Finding the Fourth Proportional to 2,587.82, 3,881.74 and 640.04

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Solution

The fourth proportional to 2,587.82, 3,881.74 and 640.04 is: 960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.82 : 3,881.74 = 640.04 : x
  2. Step 2: Convert to fraction form
    2,587.82/3,881.74 = 640.04/x
  3. Step 3: Cross multiply
    2,587.82x = 3,881.74 × 640.04
  4. Step 4: Simplify right side
    2,587.82x = 2,484,468.87
  5. Step 5: Solve for x
    x = 2,484,468.87/2,587.82
  6. Step 6: Final answer
    x = 960.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.