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Finding the Fourth Proportional to 5,211.84, 7,818.96 and 1,749

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Solution

The fourth proportional to 5,211.84, 7,818.96 and 1,749 is: 2,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.84 : 7,818.96 = 1,749 : x
  2. Step 2: Convert to fraction form
    5,211.84/7,818.96 = 1,749/x
  3. Step 3: Cross multiply
    5,211.84x = 7,818.96 × 1,749
  4. Step 4: Simplify right side
    5,211.84x = 13,675,361.04
  5. Step 5: Solve for x
    x = 13,675,361.04/5,211.84
  6. Step 6: Final answer
    x = 2,623.90

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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.