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Finding the Fourth Proportional to 3,457, 5,188.38 and 2,089

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Solution

The fourth proportional to 3,457, 5,188.38 and 2,089 is: 3,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457 : 5,188.38 = 2,089 : x
  2. Step 2: Convert to fraction form
    3,457/5,188.38 = 2,089/x
  3. Step 3: Cross multiply
    3,457x = 5,188.38 × 2,089
  4. Step 4: Simplify right side
    3,457x = 10,838,525.82
  5. Step 5: Solve for x
    x = 10,838,525.82/3,457
  6. Step 6: Final answer
    x = 3,135.24

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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.