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Finding the Fourth Proportional to 3,731.70, 5,609.70 and 2,643.60

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Solution

The fourth proportional to 3,731.70, 5,609.70 and 2,643.60 is: 3,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.70 : 5,609.70 = 2,643.60 : x
  2. Step 2: Convert to fraction form
    3,731.70/5,609.70 = 2,643.60/x
  3. Step 3: Cross multiply
    3,731.70x = 5,609.70 × 2,643.60
  4. Step 4: Simplify right side
    3,731.70x = 14,829,802.92
  5. Step 5: Solve for x
    x = 14,829,802.92/3,731.70
  6. Step 6: Final answer
    x = 3,974.01

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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.