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Finding the Fourth Proportional to 3,202.88, 4,804.45 and 2,587.77

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Solution

The fourth proportional to 3,202.88, 4,804.45 and 2,587.77 is: 3,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.88 : 4,804.45 = 2,587.77 : x
  2. Step 2: Convert to fraction form
    3,202.88/4,804.45 = 2,587.77/x
  3. Step 3: Cross multiply
    3,202.88x = 4,804.45 × 2,587.77
  4. Step 4: Simplify right side
    3,202.88x = 12,432,805.11
  5. Step 5: Solve for x
    x = 12,432,805.11/3,202.88
  6. Step 6: Final answer
    x = 3,881.76

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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.