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Finding the Fourth Proportional to 2,605.76, 3,909.05 and 873.98

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Solution

The fourth proportional to 2,605.76, 3,909.05 and 873.98 is: 1,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.76 : 3,909.05 = 873.98 : x
  2. Step 2: Convert to fraction form
    2,605.76/3,909.05 = 873.98/x
  3. Step 3: Cross multiply
    2,605.76x = 3,909.05 × 873.98
  4. Step 4: Simplify right side
    2,605.76x = 3,416,450.81
  5. Step 5: Solve for x
    x = 3,416,450.81/2,605.76
  6. Step 6: Final answer
    x = 1,311.11

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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.