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Finding the Fourth Proportional to 2,587.84, 3,881.37 and 944.00

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Solution

The fourth proportional to 2,587.84, 3,881.37 and 944.00 is: 1,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.84 : 3,881.37 = 944.00 : x
  2. Step 2: Convert to fraction form
    2,587.84/3,881.37 = 944.00/x
  3. Step 3: Cross multiply
    2,587.84x = 3,881.37 × 944.00
  4. Step 4: Simplify right side
    2,587.84x = 3,664,005.42
  5. Step 5: Solve for x
    x = 3,664,005.42/2,587.84
  6. Step 6: Final answer
    x = 1,415.86

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