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Finding the Fourth Proportional to 2,587.97, 3,881.90 and 944.51

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Solution

The fourth proportional to 2,587.97, 3,881.90 and 944.51 is: 1,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.97 : 3,881.90 = 944.51 : x
  2. Step 2: Convert to fraction form
    2,587.97/3,881.90 = 944.51/x
  3. Step 3: Cross multiply
    2,587.97x = 3,881.90 × 944.51
  4. Step 4: Simplify right side
    2,587.97x = 3,666,469.24
  5. Step 5: Solve for x
    x = 3,666,469.24/2,587.97
  6. Step 6: Final answer
    x = 1,416.74

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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.