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Finding the Fourth Proportional to 4,609.89, 6,917.22 and 2,143.98

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Solution

The fourth proportional to 4,609.89, 6,917.22 and 2,143.98 is: 3,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.89 : 6,917.22 = 2,143.98 : x
  2. Step 2: Convert to fraction form
    4,609.89/6,917.22 = 2,143.98/x
  3. Step 3: Cross multiply
    4,609.89x = 6,917.22 × 2,143.98
  4. Step 4: Simplify right side
    4,609.89x = 14,830,381.34
  5. Step 5: Solve for x
    x = 14,830,381.34/4,609.89
  6. Step 6: Final answer
    x = 3,217.08

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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.