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Finding the Fourth Proportional to 3,493.58, 5,239.06 and 1,412.92

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Solution

The fourth proportional to 3,493.58, 5,239.06 and 1,412.92 is: 2,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.58 : 5,239.06 = 1,412.92 : x
  2. Step 2: Convert to fraction form
    3,493.58/5,239.06 = 1,412.92/x
  3. Step 3: Cross multiply
    3,493.58x = 5,239.06 × 1,412.92
  4. Step 4: Simplify right side
    3,493.58x = 7,402,372.66
  5. Step 5: Solve for x
    x = 7,402,372.66/3,493.58
  6. Step 6: Final answer
    x = 2,118.85

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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.