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Finding the Fourth Proportional to 3,159.89, 4,741.05 and 1,211.64

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Solution

The fourth proportional to 3,159.89, 4,741.05 and 1,211.64 is: 1,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.89 : 4,741.05 = 1,211.64 : x
  2. Step 2: Convert to fraction form
    3,159.89/4,741.05 = 1,211.64/x
  3. Step 3: Cross multiply
    3,159.89x = 4,741.05 × 1,211.64
  4. Step 4: Simplify right side
    3,159.89x = 5,744,445.82
  5. Step 5: Solve for x
    x = 5,744,445.82/3,159.89
  6. Step 6: Final answer
    x = 1,817.93

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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.